What is the answer to 8^{3p+4}8^{-4p-2}=2^{p-1} ?

The answer to 8^{3p+4}8^{-4p-2}=2^{p-1} is p= 7/4

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8^{3p+4}8^{-4p-2}=2^{p-1}

8^{3 p + 4} 8^{- 4 p - 2} = 2^{p - 1}

p = \frac{7}{4}

Decimal Notation

p = 1.75

Solution steps

8^{3 p + 4} \cdot 8^{- 4 p - 2} = 2^{p - 1}

Apply exponent rules

3 (- p + 2) = p - 1

Solve

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

p = \frac{7}{4}

200000 = 100000 (1 + 0.0425)^{t}

1 0^{- x} - 6 = 51

4^{3 x - 1} = 3 \cdot 5^{x}

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

6^{1 - k^{2}} = 1

What is the answer to 8^{3p+4}8^{-4p-2}=2^{p-1} ?
The answer to 8^{3p+4}8^{-4p-2}=2^{p-1} is p= 7/4
Solve for p: 8^{3p+4}8^{-4p-2}=2^{p-1}
The solution is p= 7/4