To solve the equation 5^x = 7, we must find the exponent to which 5 must be raised in order to obtain 7. This is log₅ 7.
(a) Use the change-of-base rule and a calculator to find log₅ 7.
(b) Raise 5 to the number found in part (a). What is the result?
(c) Using as many decimal places as the calculator gives, write the solution set of 5^x = 7.