What is the answer to -5^{x+1}+8*5^x=15*5^{-3} ?

The answer to -5^{x+1}+8*5^x=15*5^{-3} is x=-2

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-5^{x+1}+85^x=155^{-3}

- 5^{x + 1} + 8 \cdot 5^{x} = 15 \cdot 5^{- 3}

x = - 2

Solution steps

- 5^{x + 1} + 8 \cdot 5^{x} = 15 \cdot 5^{- 3}

Factor

- 5^{x + 1} + 8 \cdot 5^{x} : 3 \cdot 5^{x}

Factor

15 \cdot 5^{- 3} : \frac{3}{25}

3 \cdot 5^{x} = \frac{3}{25}

Divide both sides by

3

5^{x} = \frac{1}{25}

Apply exponent rules

x = - 2

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

5^{x} = 0.2

lo g_{2} (2 5^{x + 3} - 1) = 2 + lo g_{2} (5^{x + 3} + 1)

\frac{2}{5} = (\frac{25}{4})^{x}

m, 144 = \frac{2 ^{m}}{3 ^{n}}

What is the answer to -5^{x+1}+8*5^x=15*5^{-3} ?
The answer to -5^{x+1}+8*5^x=15*5^{-3} is x=-2
Solve for x: -5^{x+1}+8*5^x=15*5^{-3}
The solution is x=-2