Use a calculator to evaluate the expression. Round the result to five decimal places.
-log8 36.8
A) 1.56585
B) 0.57674
C) 1.73388
D) 3.60550

Question

Quizplus · Accepted Answer

Using the change of base formula, we have:

log8 36.8 = log10 36.8 / log10 8

Using a calculator, we get:

log10 36.8 ≈ 1.56585
log10 8 ≈ 0.90309

Substituting, we get:

log8 36.8 ≈ 1.73388

Thus, the best choice is C, rounded to five decimal places. Using a calculator, we can find that log8 36.8 is approximately 1.73388 when rounded to five decimal places. None of the other answer choices are close to this value.

Use a Calculator to Evaluate the Expression