1951 AMC 12 Problem 34 — Solution | LIVE by Po-Shen Loh

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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:

$7$

$1$

$10$

$\log_{10}7$

$\log_7 10$

Answer: A

Concepts:logarithm exponent

Difficulty rating: 1260

Small Hint:

Exponentiation by $10$ and the base- $10$ logarithm are inverse operations

Big Hint:

Use the identity $b^{\log_b x}=x$

Solution:

Since the base- $10$ exponential and logarithm are inverse functions, $10^{\log_{10}7}=7.$

Thus, the correct answer is A.

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