U2D6 Solving Log Equations Jan30 - Ali Yasseri | Library

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

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Does the change represent growth or decay?

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What is the percentage rate?
The change represents a _______% _______  (increase or decrease).

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

1

Does the change represent growth or decay?

1

What is the percentage rate?
The change represents a _______% _______  (increase or decrease).

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

1

Does the change represent growth or decay?

1

What is the percentage rate?
The change represents a _______% _______  (increase or decrease).

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

1

Does the change represent growth or decay?

1

What is the percentage rate?
The change represents a _______% _______  (increase or decrease).

Solving Exponential Functions

Example:
Solve for x, rounding to the nearest hundredth.

Solution:

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Solve for x, rounding to the nearest hundredth.

 x = _______ 

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Evaluate each logarithmic expression. (Round your answer to the nearest hundredths.)

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Evaluate each logarithmic expression. (Round your answer to the nearest hundredths.)

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Evaluate each logarithmic expression. (Round your answer to the nearest hundredths.)

How to we convert from exponent form to logarithm form and back?
Examples:

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Write the exponential equation in logarithmic form.

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Write the logarithmic equation in exponential form.

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Write the logarithmic equation in exponential form.

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You can use a conversion to help you solve a logarithmic or exponential equation.

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Solve each equation by converting.

x = _______

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How to find the inverse of function.
We can also use converting to find inverses.

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Find the inverse of the function.

f -1(x) = _______

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Find the inverse of the function.

f -1(x) = _______

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