Log Test (2023) - B

Rewrite the equation in logarithmic form.

Rewrite the equation in exponential form.

Evaluate

Evaluate

Evaluate

Find the value of y.

Categorize each of the statements as true or false

Find the value of x.

Condense into a single logarithm.

Expand:

Condense into a single logarithm. Do NOT evaluate.

Condense:

Condense & Evaluate.

Find the value of m. Make sure to check for extraneous solutions

Solve for x.

Solve for p.

Find the value of x. Make sure to check for extraneous solutions

Solve for x.

_{Round to the nearest hundredth (2 decimal places).}

Solve. Make sure to check for extraneous solutions.

Solve for x.

$1,000 is deposited into an account that earns 5%, compounded monthly.

How long would it take for the money in the account to double?

Start solving the problem so you can determine which would be a correct step in solving.

In the year 2023, the average price of a ticket to a Padres baseball game was $33, and is going up 10% per year.

Round to the nearest whole, then find in what year will the average ticket price be $70?

Use P(t)=a(1+r)^t

The half-life of an element describes the time it takes for a certain starting amount to decay to half its original size. The radioactive element Cobalt-60 decays over time. 15 grams of Cobalt-60 takes 6.27 years to decay to half its original size. Find the rate of decay.

Use:

Write as a decimal rounded to 4 decimal places.

A biologist can estimate the age of an African elephant by measuring the length of its footprint and using the equation below, where f is the length of a footprint (in centimeters), and a is the age of the elephant in years.

Find the age of an elephant that has a footprint that is 36 centimeters long.

_{(Round to the nearest tenth)}