What is the answer to 25=5(8)^{-3x-1} ?

The answer to 25=5(8)^{-3x-1} is x=-(ln(40))/(9ln(2))

Solve for x: 25=5(8)^{-3x-1}

The solution is x=-(ln(40))/(9ln(2))

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25 = 5 (8)^{- 3 x - 1}

x = - \frac{ln ( 40 )}{9 ln ( 2 )}

Decimal Notation

x = - 0.59132 \dots

Solution steps

25 = 5 (8)^{- 3 x - 1}

Switch sides

5 \cdot 8^{- 3 x - 1} = 25

Divide both sides by

5

8^{- 3 x - 1} = 5

Apply exponent rules

(- 3 x - 1) ln (8) = ln (5)

Solve

(- 3 x - 1) ln (8) = ln (5) : x = - \frac{ln ( 40 )}{9 ln ( 2 )}

x = - \frac{ln ( 40 )}{9 ln ( 2 )}

7^{x - 1} = 5

1 2^{x^{2} + 2 x + 3} = 1728

2^{2 x} = \frac{1}{8}

e^{- x} + 2 x - 1 = 0

2^{8^{x - 2}} = 4^{4^{x - 1}}

What is the answer to 25=5(8)^{-3x-1} ?
The answer to 25=5(8)^{-3x-1} is x=-(ln(40))/(9ln(2))
Solve for x: 25=5(8)^{-3x-1}
The solution is x=-(ln(40))/(9ln(2))