Answer: 33
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Work Shown:
8^(x+7) = 32^(x-9)
(8)^(x+7) = (32)^(x-9)
(2^3)^(x+7) = (32)^(x-9) .... replace 8 with 2^3
(2^3)^(x+7) = (2^5)^(x-9) .... replace 32 with 2^5
2^(3(x+7)) = 2^(5(x-9)) ... multiply exponents
3(x+7) = 5(x-9) ...bases are the same, exponents are the same
3x+21 = 5x-45
21+45 = 5x-3x
66 = 2x
2x = 66
x = 66/2
x = 33
