Question

If 2 Superscript x Baseline equals 100, what is x?

Answer options with 4 options
A.
x equals StartFraction 2 over Log 2 EndLog EndFraction

B.
x equals StartFraction 10 over Log 2 EndLog EndFraction

C.
x equals StartFraction 50 over Log 2 EndLog EndFraction

D.
x equals StartFraction 100 over Log 2 EndLog EndFraction

Answer 1

2^x = 100. Take common logs (or natural logs): x log 2 = log 100 = 2, so x = 2 / log 2.

Thus choice A. (Equivalently x = ln 100 / ln 2.)