To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-150
A)5.0106
B)2.1732
C)2.1761
D)2.1790

Question

Quizplus · Accepted Answer

Taking the logarithm base 10 of 150 gives log(150) = 2.1761 (rounded to four decimal places). This means that 10 must be raised to the power of 2.1761 to obtain the value of 150. Therefore, the answer is choice C. Using the logarithm function: 
log10(150) = x
10^x = 150
x = log10(150)
x ≈ 2.1761 (rounded to four decimal places) 
Therefore, the answer is C.

To What Exponent Must the Base 10 Be Raised to Obtain