IXL - Solve exponential equations using natural logarithms (Algebra 2 practice)

Solve. Round your answer to the nearest thousandth.

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Learn with an example

Solve. Round your answer to the nearest thousandth.

Power Property:

log

where

and

are positive, and

≠

A natural logarithm (ln) uses base e. The natural logarithm

log

is usually written as

The functions

and

are inverse functions, so

and

Look at the given equation:

Notice that 3 and e cannot be easily written in terms of the same base. So, take the natural logarithm (ln) of both sides and solve for

Take the natural logarithm (ln) of both sides

Power Property

1.09861

≈

1.09861

≈

1.09861

To the nearest thousandth,

≈

1.099

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