Difference between revisions of "1956 AHSME Problems/Problem 8"

(Solution)
(Solution)
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Dividing by 8 gives
 
Dividing by 8 gives
 
<cmath>2^{x}=\frac{1}{8}</cmath>
 
<cmath>2^{x}=\frac{1}{8}</cmath>
This simply gives that <math>x=-3</math>
+
This simply gives that <math>x=-3</math>.
Therefore, the answer is <math>\fbox{(B) -3}</math>
+
Therefore, the answer is <math>\fbox{(B) -3}</math>.

Revision as of 13:44, 31 August 2019

Solution

Simple substitution yields \[8 \cdot 2^{x} = 5^{0}\] Reducing the equation gives \[8 \cdot 2^{x} = 1\] Dividing by 8 gives \[2^{x}=\frac{1}{8}\] This simply gives that $x=-3$. Therefore, the answer is $\fbox{(B) -3}$.