Question

Answer................::.

Answer 1

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