Explain how to solve 5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. round your answer to the nearest thousandth.

3.2920

Step-by-step explanation:

Given:

Using base change log formula:

Apply log both sides

Divide both side by log 5

using calculator

Hence, The value of x is 3.2920

x = 3.292

Step-by-step explanation:

8 =  (apply log to both sides)

log 8 =  log

log 8 = (x-2) log 5

(x-2) =

x = + 2  (use calculator)

x = 3.29203

x = 3.292 (nearest thousanth)