5^x=62 Giving 20 points!

Algebra 2, Chapter 6-7. Common Logarithms.
The answer key says its 2.5, but I need some help to understand how to get that answer by showing work.

x = 2.564 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log ⇔ n logx

Given

= 62 ( take the ln of both sides )

ln = ln 62, that is

x ln5 = ln 62 ( divide both sides by ln 5 )

x = ≈ 2.564

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square