Difference between revisions of "1964 AHSME Problems/Problem 1"

Latest revision as of 03:05, 23 July 2019

What is the value of $[\log_{10}(5\log_{10}100)]^2$ ?

$\textbf{(A)}\ \log_{10}50 \qquad \textbf{(B)}\ 25\qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 2\qquad \textbf{(E)}\ 1$

$[\log_{10}(5\log_{10}100)]^2$

Since $10^2 = 100$ , we have $\log_{10} 100 = 2$ , so:

$[\log_{10}(5\cdot 2)]^2$

Multiply:

$[\log_{10}(10)]^2$

Since $10^1 = 10$ , we have $\log_{10} 10 = 1$ , so:

$[1]^2$

$1$

$\fbox{E}$ .

1964 AHSC (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40
All AHSME Problems and Solutions

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 ==See Also==
-{{AHSME 40p box|year=1964|before=First Problem|num-a=3}}
+{{AHSME 40p box|year=1964|before=First Problem|num-a=2}}
 [[Category:Introductory Algebra Problems]]
 {{MAA Notice}}