Question

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.

log7 2/9

Answer 1

-0.7781

Explanation:

Using the change of base formula,

Log 2/9 to base 7 = Log (2/9) ÷ Log 7 = Log 0.22 ÷ Log 7

Log 0.22 = -0.6576

Log7 = 0.8451

Log 0.22 ÷ Log 7 = -0.6576 ÷ 0.8451 = -0.7781