Question

WILL GIVE BRAINLIEST Solve 1/36 = 6^x−3. x = −5 x = -(3/2) x = 7/2 x = 1

Answer 1

The question is posted in Wrong subject category. Anyways, the solution is stated below:

$\frac{1}{36}= 6^{x-3} \\ \\ \frac{1}{ 6^{2} }= 6^{x-3} \\ \\ 6^{-2}=6^{x-3}$

The base on both sides are same i.e. 6. For the equation to be true, the exponents(powers) must also be the same. So this means

$-2 = x-3 \\ \\ x = 1$

Therefore, answer to this question is x = 1