## The problem

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I am having trouble understanding how taking the log helps this equation. thanks.

## Answer provided by our tutors

You are trying to solve exponential equation, the variable 'x' is in the exponent.

We need to get rid of the exponent and that is why we apply 'log' on both sides of the equation:

Using the definition for log:

We get:

3x - 2 = 0

3x = 2

x = 2/3