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Difference between revisions of "1951 AHSME Problems/Problem 34"

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Latest revision as of 11:26, 5 July 2013

Problem

The value of $10^{\log_{10}7}$ is:

$\textbf{(A)}\ 7\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ \log_{10}7\qquad\textbf{(E)}\ \log_{7}10$

Solution

$\log_{10}7=x \Rightarrow 10^x=7$ Substitute $\log_{10}7=x$ in $10^{\log_{10}7} \Rightarrow 10^x=?$ It was already stated that $10^x=7$, so our answer is $\textbf{(A)}\ 7$

See Also

1951 AHSC (Problems • Answer Key • Resources)
Preceded by
Problem 33 		Followed by
Problem 35
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All AHSME Problems and Solutions

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