IXL - Solve logarithmic equations I (Algebra 2 practice)

Solve. Simplify your answer.

log

ref_doc_title.

Learn with an example

Solve. Simplify your answer.

log

The logarithm of

with base

is defined as

log

if and only if

where

and

≠

Look at the given equation:

log

The equation is of the form

log

Rewrite this as an exponential equation and solve for

log

The solution is valid only if the original equation makes sense when

is 4. In other words, the expression inside the logarithm in the original equation must be positive.

log

Plug in the solution,

The expression inside the logarithm is 4, which is positive. This means the logarithm in the original equation is well defined. So,

is a valid solution.

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