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If 36^12-m=6^2m, what is the value of m? 4,6,8,9

If 36^12-m=6^2m, what is the value of m? 4,6,8,9
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If 36^12-m=6^2m, what is the value of m? 4,6,8,9

User Jpincheira
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2 Answers

3 votes
The Answer is B.) 6
I Just took the test as well.

User Gd Vigneshwar
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3 votes

36^(12-m)=6^(2m)\\\\(6^2)^(12-m)=6^(2m)\\\\6^(2(12-m))=6^(2m)\\\\6^(24-2m)=6^(2m)\iff24-2m=2m\ \ \ |add\ 2m\ to\ both\ sides\\\\4m=24\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{m=6}
User Ronjon
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