To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-0.00531
A) -2.2832
B) -5.2382
C) -2.2668
D) -2.2749

Question

Quizplus · Accepted Answer

To find the exponent we want to solve for the value of x in the equation 10^x = 0.00531. Taking the logarithm of both sides with base 10, we get x = log(0.00531). Using a calculator to evaluate this expression, we get x = -2.2749. Rounding this to four decimal places gives us the answer choice D, which is the best option. Using the logarithm function with base 10, we get log10(0.00531) = -2.2749 rounded to four decimal places. Therefore, the answer is D.

To What Exponent Must the Base 10 Be Raised to Obtain