What is the answer to 4^{5p-1}=8^{p-2} ?

The answer to 4^{5p-1}=8^{p-2} is p=-4/7

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4^{5p-1}=8^{p-2}

4^{5 p - 1} = 8^{p - 2}

p = - \frac{4}{7}

Decimal Notation

p = - 0.57142 \dots

Solution steps

4^{5 p - 1} = 8^{p - 2}

Apply exponent rules

2 (5 p - 1) = 3 (p - 2)

Solve

2 (5 p - 1) = 3 (p - 2) : p = - \frac{4}{7}

p = - \frac{4}{7}

\frac{1}{2} (3)^{x} = \frac{9}{2}

8 1^{2^{x + 7}} = 3^{8^{x - 13}}

x, e^{2 x} - 11 e^{x} + 30 = 0

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

1 0^{x} = 40

What is the answer to 4^{5p-1}=8^{p-2} ?
The answer to 4^{5p-1}=8^{p-2} is p=-4/7
Solve for p: 4^{5p-1}=8^{p-2}
The solution is p=-4/7