IXL - Evaluate logarithms (Algebra 2 practice)

Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.

log

625

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Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.

log

The logarithm of

with base

is defined as

log

if and only if

where

and

≠

Look at the given expression.

log

Notice that 81 can be written as a power of 9. So, use the logarithmic expression to write an exponential equation with base 9, and then solve.

log

Let

the value of the logarithm

Let

the value of the logarithm

Convert the logarithmic equation to an exponential equation

Set the exponents equal

So,

log

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