2 years ago

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

Mathematics

2 answers:

Viefleur [7K]2 years ago

4 0

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

stealth61 [152]2 years ago

3 0

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

You might be interested in

Find the slope of the line.

zubka84 [21]

to get the slope of any line, all we need is two points off of it.

so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}$