Question

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4?

Answer 1

Answer: B
Hope this helps

Answer 2

Answer:

b. 2

Step-by-step explanation:

$3^{2X}$ = $9^{3X - 4}$  ------------------------------------(1)

To solve the equation above, we will follow the steps below;

9 = 3²

Will replace 9 = 3² in equation (1)

$3^{2X}$ = $(3^{2}) ^{3X - 4}$

open the bracket

$3^{2X}$ = $3^{6x - 8}$  

The 3 on the left-hand side will cancel-out the 3 on the right-hand side of the equation. Thus our equation becomes;

2x = 6x - 8

subtract 6x from both-side of the equation

2x - 6x = -8

-4x = -8

Divide both-side of the equation by -4

$\frac{-4X}{-4}$  = $\frac{-8}{-4}$

(On the left-hand side of the equation, -4 will cancel-out -4 while on the right-hand side of the equation -8 will be divided by -4)

x = 2