1951 AHSME Problems/Problem 34

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 $\textbf{(A)}\ 7$

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1951 AHSME Problems/Problem 34

Problem

Solution