Question

ANSWER....................

Answer 1

Answer:

x=33

Step-by-step explanation:

8^(x+7) = 32^(x-9)

Rewriting 8 as 2^3   and 32 as 2^5

2^3 ^(x+7) = 2^5^(x-9)

We know that a^b^c = a^(b*c)

2^(3*(x+7)) = 2^(5*(x-9))

2^(3x+21) = 2^(5x-45)

We know that if the bases are the same, the exponents are the same

3x+21 = 5x-45

Subtract 3x from each side

3x-3x+21 = 5x-3x-45

21 = 2x-45

Add 45 to each side

21+45 = 2x-45+45

66= 2x

Divide by 2

66/2 = 2x/2

33=x