# How do you solve #log_3 (4x-5)=5#?

##### 3 Answers

I got

#### Explanation:

Let us use the definition of log to write:

rearrange:

NB: definition of log

so that:

The solution is

#### Explanation:

Convert the equation to exponential form:

Here's the actual equation:

That's the answer. Hope this helped!

Given:

Make both sides the exponent of the base, 3:

The left side simplifies to the argument of the logarithm and the right side is computed with a calculator:

Solve for x: