Question

√12^3m-2=144 solve this​

Answer 1

ans,m=2, hope it helps you

Answer 2

Hello!

Here is your answer

Given

$\sqrt{12} {}^{3m - 2} = 144$

We know that

$12^{2} = 144$

So we can say that

$\sqrt{12} {}^{3m - 2} = 12 {}^{2}$

$\sqrt{x} = x {}^{ \frac{1}{2} }$

So

$\sqrt{12} {}^{3m - 2} = 12 {}^{ \frac{1}{2}(3m - 2) }$

$12 {}^{ \frac{3m}{2} - 1 } = 12 {}^{2}$

Bases are equal

So exponents must be equal

$\frac{3m}{2} - 1 = 2$

$\frac{3m}{2} = 2 + 1 = 3$

$\frac{m}{2} = 1$

$m = 2$