Question

I need help will give brainliest for correct answer

Answer 1

Answer:

x=-2

Step-by-step explanation:

To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!

Answer 2

Answer:

x = - 2

Step-by-step explanation:

See below;

9^x - 8 = 3^ 4x - 12,

( 3 )^2 ( x - 8 ) = 3^ ( 4x - 12 ),

3^ 2x - 16 = 3^ 4x - 12,

2x - 16 = 4x - 12,

2x - 4x = - 12 + 16,

- 2x = 4,

x = - 2