Logarithm equations (solving for x)

Use log to solve 3^(5x-1)=23
I think the first step is 5x-1log3=log23? Not sure what comes next please help?

(5x - 1) * log(3) = log(23) is a fine first step. Now, distribute

5x * log(3) - log(3) = log(23)
5x * log(3) = log(23) + log(3)

Remember: log(a) + log(b) = log(a * b)

5x * log(3) = log(23 * 3)
5x * log(3) = log(69)
x = log(69) / (5 * log(3))

There you go.