Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 13, 2011"
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==Solution== | ==Solution== | ||
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First, we can simplify the fraction on the right side of the equation by subtracting the exponents of both numbers. | First, we can simplify the fraction on the right side of the equation by subtracting the exponents of both numbers. |
Latest revision as of 21:02, 12 June 2011
Problem
AoPSWiki:Problem of the Day/June 13, 2011
Solution
First, we can simplify the fraction on the right side of the equation by subtracting the exponents of both numbers.
${\dfrac{2^{3x+7}}{2^{x-1}}=2^{(3x+7)-(x-1)}=2^{2x+8}$ (Error compiling LaTeX. Unknown error_msg)
Thus, we add 3 to the exponent.
Then, we can divide both sides by the left side.
Therefore,