To solve this equation, remember log rules

.

This rule can be applied here so that

and

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

For this problem, manipulate the log and solve:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

For this problem, manipulate the log and solve:

Rewrite in exponential form:

Solve for x:

Divide by three on both sides.

If we would recall and , this indicates that:

Cube both sides to isolate b.

The answer is:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

For this problem, manipulate the log and solve:

Exponentiate:

Add two to both sides:

Divide both sides by 2:

(rounded answer)

For this problem it is helpful to remember that,

is equivalent to because

Therefore we can set what is inside of the parentheses equal to each other and solve for as follows:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

For this problem, manipulate the log and solve:

In order to solve for x in a logarithmic function, we need to change it into exponential form. That looks as follows:

For this problem, manipulate the log and solve: