What is the answer to 2^{5x+1}=8^{2x-3} ?

The answer to 2^{5x+1}=8^{2x-3} is x=10

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2^{5x+1}=8^{2x-3}

2^{5 x + 1} = 8^{2 x - 3}

x = 10

Solution steps

2^{5 x + 1} = 8^{2 x - 3}

Apply exponent rules

5 x + 1 = 3 (2 x - 3)

Solve

5 x + 1 = 3 (2 x - 3) : x = 10

x = 10

9^{(x + 2)} = 2 7^{(x + 1)}

8^{3 x} = (\frac{1}{4})^{x + 1}

y, \frac{y}{e ^{x y}} = x

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

2^{2 x + 7} = 2^{15}

What is the answer to 2^{5x+1}=8^{2x-3} ?
The answer to 2^{5x+1}=8^{2x-3} is x=10
Solve for x: 2^{5x+1}=8^{2x-3}
The solution is x=10