HW Solve Exponential Equations

Last updated about 3 years ago

25 Nsɛmmisa

Do not type x= on your answers. Just type in the number.

OPTIONAL: Watch this 55-second video to see how to solve the next few problems. There is no sound.

To type logs of any base in the calculator click:

MATH -> ALPHA -> MATH

When the equation has TWO exponents, you must use this method. Create the same base on each side so you can set the exponents equal to each other and solve.

OPTIONAL: Watch this quick video:

For your notes:

HW Solve Exponential Equations

Last updated about 3 years ago

25 Nsɛmmisa

Do not type x= on your answers. Just type in the number.

Solve for y.

OPTIONAL: Watch this 55-second video to see how to solve the next few problems. There is no sound.

Solve for x.
_{Round to the nearest hundredth.}

Solve for x.
_{Round to the nearest tenth.}

To type logs of any base in the calculator click:

MATH -> ALPHA -> MATH

Solve for x.
_{Round to the nearest whole.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.

Another way to solve #10 is to make the bases the same, so you can set the exponents equal to each other!

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Now you try! Solve for x by re-writing the right side of the equation with a base of "2".
Then set the exponents equal to each other and solve for x.

Rewrite the equation below so each side has the same base.

Use your answer for #12 to finish solving for x.

When the equation has TWO exponents, you must use this method. Create the same base on each side so you can set the exponents equal to each other and solve.

OPTIONAL: Watch this quick video:

Now you try! Solve the equation by making both sides have the same base.

Solve for x.

Solve for x.
\pm

Solve for x.

Solve for x.
This equation only has one exponent. So instead of trying to make the bases the same, you can just take log_5 of both sides!
_{Round to the nearest tenth.}

For your notes:

Solve for x.
_{Round to the nearest tenth.}

Hmm, only one exponent but it may be easier to make the bases the same still. Up to you!

Solve for x.
_{Round to the nearest tenth.}

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the function A=P(1-.07)^t. If the population started off as 8500, when will it be 6000?
_{Round to the nearest whole year.}

How long will it take $1500 to triple if it is invested at 2.25% interest compounded monthly?
_{Round to the nearest whole.}

100 bunny rabbits are left in a field and their rate of reproduction is given by the function below, where t is time in days. How many days will it take for the number of bunnies to double?
_{Round to the nearest whole day.}

HW Solve Exponential Equations

Do not type x= on your answers. Just type in the number.

OPTIONAL: Watch this 55-second video to see how to solve the next few problems. There is no sound.

To type logs of any base in the calculator click:

MATH -> ALPHA -> MATH

When the equation has TWO exponents, you must use this method. Create the same base on each side so you can set the exponents equal to each other and solve.

OPTIONAL: Watch this quick video:

For your notes:

HW Solve Exponential Equations

Do not type x= on your answers. Just type in the number.

Solve for y.

OPTIONAL: Watch this 55-second video to see how to solve the next few problems. There is no sound.

Solve for x.Round to the nearest hundredth.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

To type logs of any base in the calculator click:

MATH -> ALPHA -> MATH

Solve for x.Round to the nearest whole.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Solve for x.

Another way to solve #10 is to make the bases the same, so you can set the exponents equal to each other!

Now you try! Solve for x by re-writing the right side of the equation with a base of "2".Then set the exponents equal to each other and solve for x.

Rewrite the equation below so each side has the same base.

Use your answer for #12 to finish solving for x.

When the equation has TWO exponents, you must use this method. Create the same base on each side so you can set the exponents equal to each other and solve.

OPTIONAL: Watch this quick video:

Now you try! Solve the equation by making both sides have the same base.

Solve for x.

Solve for x.

Solve for x.\pm

Solve for x.

Solve for x.This equation only has one exponent. So instead of trying to make the bases the same, you can just take log_5 of both sides!Round to the nearest tenth.

For your notes:

Solve for x.Round to the nearest tenth.

Hmm, only one exponent but it may be easier to make the bases the same still. Up to you!

Solve for x.Round to the nearest tenth.

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the function A=P(1-.07)^t. If the population started off as 8500, when will it be 6000?Round to the nearest whole year.

How long will it take $1500 to triple if it is invested at 2.25% interest compounded monthly?Round to the nearest whole.

100 bunny rabbits are left in a field and their rate of reproduction is given by the function below, where t is time in days. How many days will it take for the number of bunnies to double?Round to the nearest whole day.

Solve for y.

Solve for x.Round to the nearest hundredth.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest whole.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Solve for x.

Another way to solve #10 is to make the bases the same, so you can set the exponents equal to each other!

Now you try! Solve for x by re-writing the right side of the equation with a base of "2".Then set the exponents equal to each other and solve for x.

Rewrite the equation below so each side has the same base.

Use your answer for #12 to finish solving for x.

Now you try! Solve the equation by making both sides have the same base.

Solve for x.

Solve for x.

Solve for x.\pm

Solve for x.

Solve for x.This equation only has one exponent. So instead of trying to make the bases the same, you can just take log_5 of both sides!Round to the nearest tenth.

Solve for x.Round to the nearest tenth.

Hmm, only one exponent but it may be easier to make the bases the same still. Up to you!

Solve for x.Round to the nearest tenth.

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the function A=P(1-.07)^t. If the population started off as 8500, when will it be 6000?Round to the nearest whole year.

How long will it take $1500 to triple if it is invested at 2.25% interest compounded monthly?Round to the nearest whole.

100 bunny rabbits are left in a field and their rate of reproduction is given by the function below, where t is time in days. How many days will it take for the number of bunnies to double?Round to the nearest whole day.

Solve for x.
_{Round to the nearest hundredth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest whole.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Now you try! Solve for x by re-writing the right side of the equation with a base of "2".
Then set the exponents equal to each other and solve for x.

Solve for x.
\pm

Solve for x.
This equation only has one exponent. So instead of trying to make the bases the same, you can just take log_5 of both sides!
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the function A=P(1-.07)^t. If the population started off as 8500, when will it be 6000?
_{Round to the nearest whole year.}

How long will it take $1500 to triple if it is invested at 2.25% interest compounded monthly?
_{Round to the nearest whole.}

100 bunny rabbits are left in a field and their rate of reproduction is given by the function below, where t is time in days. How many days will it take for the number of bunnies to double?
_{Round to the nearest whole day.}

Solve for x.
_{Round to the nearest hundredth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest whole.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Now you try! Solve for x by re-writing the right side of the equation with a base of "2".
Then set the exponents equal to each other and solve for x.

Solve for x.
\pm

Solve for x.
This equation only has one exponent. So instead of trying to make the bases the same, you can just take log_5 of both sides!
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

Solve for x.
_{Round to the nearest tenth.}

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the function A=P(1-.07)^t. If the population started off as 8500, when will it be 6000?
_{Round to the nearest whole year.}

How long will it take $1500 to triple if it is invested at 2.25% interest compounded monthly?
_{Round to the nearest whole.}

100 bunny rabbits are left in a field and their rate of reproduction is given by the function below, where t is time in days. How many days will it take for the number of bunnies to double?
_{Round to the nearest whole day.}