3 years ago

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

Mathematics

2 answers:

Viefleur [7K]3 years ago

4 0

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

stealth61 [152]3 years ago

3 0

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

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