Question

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

Answer 1

6*(-5)-3 = -33
6*(-3/2)-3 = -12
6*(7/2)-3 = 18
6*(1)-3=3 X=1 is the answer

Answer 2

Hi there! The answer is x = 1

To find our answer we have to write 1 / 36 as a power of 6.

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

Using the rule g^a = g^b gives a = b, we get the following:

$- 2 = x - 3$
Now add 3 to both sides of the equation.

$1 = x$
$x = 1$