Use the change-of-base formula to evaluate each logarithm correct to six decimal places.(a)log7(35) (b)log18(14)

Question

Use the change-of-base formula to evaluate each logarithm correct to six decimal places.(a)log7(35) (b)log18(14)
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Solution 1

(a) log7(35)

The change of base formula is logb(a) = logc(a) / logc(b). We can use this formula to change the base to 10 because most calculators use base 10.

So, log7(35) = log10(35) / log10(7)

Using a calculator, we find that log10(35) ≈ 1.544068 and log10(7) ≈ 0.845098

Therefore, log7(35) = 1 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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