Question

Solve for x 9^(x+1)+3^(2x+1)

Answer 1

Answer:

Hey guys

Step-by-step explanation:

9^(x+1) + 3^(2x+1)= 36

9^x * 9 + 3*3^(2x) = 36 divide by 3

3 * 9^x + 3^(2x) = 12

3 * 9^x + (3^2)^x = 12

3 * 9^x + 9^x = 12

9^x * (3 + 1) = 12

9^x * 4 = 12 divide by 4

9^x = 3

[3^2]^x = 3^1

3^(2x) = 3^1 equate exponents

2x = 1 → x = 1/2

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