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I need help with this!

I need help with this!-example-1
User Vidar
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1 Answer

13 votes
13 votes

If
3x-y=12, then
y=3x-12. Substituting that into
(8^x)/(2^y) would give us...


\begin{aligned}(8^x)/(2^y) &= (8^x)/(2^(3x-12)) \\[0.9em]&= (8^x)/(2^(3x)\cdot2^(-12))\\[0.9em]&= (8^x)/((2^3)^x\cdot2^(-12))\\[0.9em]&= (8^x)/(8^(x)\cdot2^(-12))\\[0.9em]&= (1)/(1\cdot2^(-12))\\[0.9em]&= (1)/(2^(-12))\\[0.9em]&= 2^(12)\end{aligned}

User Mawaheb
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