What is the answer to 8^{3x-5}=32^{2x+3} ?

The answer to 8^{3x-5}=32^{2x+3} is x=-30

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8^{3x-5}=32^{2x+3}

8^{3 x - 5} = 3 2^{2 x + 3}

x = - 30

Solution steps

8^{3 x - 5} = 3 2^{2 x + 3}

Apply exponent rules

3 (3 x - 5) = 5 (2 x + 3)

Solve

3 (3 x - 5) = 5 (2 x + 3) : x = - 30

x = - 30

3 2^{x} = (\frac{1}{128})^{x - 8}

2^{60} = 1 6^{x}

2^{x + 2} + 2^{x - 1} = 18

2 \times 9^{x} = 54

2^{4 - 2 x} = 64

What is the answer to 8^{3x-5}=32^{2x+3} ?
The answer to 8^{3x-5}=32^{2x+3} is x=-30
Solve for x: 8^{3x-5}=32^{2x+3}
The solution is x=-30