1951 AMC 12 Problem 34

Attempt Problem 34 of the 1951 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1951 AMC 12 solutions, or check the answer key.

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34.

The value of

10^{\log_{10}7}

is:

7

1

10

\log_{10}7

\log_7 10

Exponentiation by

10

and the base-

10

logarithm are inverse operations

Use the identity

b^{\log_b x}=x

Since the base-

10

exponential and logarithm are inverse functions,

10^{\log_{10}7}=7.

Thus, the correct answer is A.

Problem 34 in other years