What is the answer to 8^{3x+2}=16^{x-4} ?

The answer to 8^{3x+2}=16^{x-4} is x=-22/5

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8^{3x+2}=16^{x-4}

8^{3 x + 2} = 1 6^{x - 4}

x = - \frac{22}{5}

Decimal Notation

x = - 4.4

Solution steps

8^{3 x + 2} = 1 6^{x - 4}

Apply exponent rules

3 (3 x + 2) = 4 (x - 4)

Solve

3 (3 x + 2) = 4 (x - 4) : x = - \frac{22}{5}

x = - \frac{22}{5}

(625)^{x} = 125

95 = 2 3^{x}

2^{x} + 3^{x} = 0

1 8^{x^{2} + 4 x + 4} = 1 8^{9 x + 18}

What is the answer to 8^{3x+2}=16^{x-4} ?
The answer to 8^{3x+2}=16^{x-4} is x=-22/5
Solve for x: 8^{3x+2}=16^{x-4}
The solution is x=-22/5