Difference between revisions of "1965 AHSME Problems/Problem 1"
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<math>\textbf{(A)}\ 0 \qquad \textbf{(B) }\ 1 \qquad \textbf{(C) }\ 2 \qquad \textbf{(D) }\ 3 \qquad \textbf{(E) }\ \text{more than 4}</math> | <math>\textbf{(A)}\ 0 \qquad \textbf{(B) }\ 1 \qquad \textbf{(C) }\ 2 \qquad \textbf{(D) }\ 3 \qquad \textbf{(E) }\ \text{more than 4}</math> | ||
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| + | ==Solution== | ||
| + | Solution by e_power_pi_times_i | ||
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| + | Take the logarithm with a base of <math>2</math> to both sides, resulting in the equation <math>2x^2-7x+5 = 0</math>. Factoring results in <math>(2x-5)(x-1) = 0</math>, so there are <math>\boxed{\textbf{(C) }}\2</math>. | ||
Revision as of 12:34, 22 November 2016
Problem
The number of real values of 
satisfying the equation 
is:
Solution
Solution by e_power_pi_times_i
Take the logarithm with a base of 
to both sides, resulting in the equation 
. Factoring results in 
, so there are $\boxed{\textbf{(C) }}\2$ (Error compiling LaTeX. Unknown error_msg).
