What is the answer to 24=3(4)^{-5x+1} ?

The answer to 24=3(4)^{-5x+1} is x=-1/10

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24=3(4)^{-5x+1}

24 = 3 (4)^{- 5 x + 1}

x = - \frac{1}{10}

Decimal Notation

x = - 0.1

Solution steps

24 = 3 (4)^{- 5 x + 1}

Switch sides

3 \cdot 4^{- 5 x + 1} = 24

Divide both sides by

3

4^{- 5 x + 1} = 8

Apply exponent rules

2 (- 5 x + 1) = 3

Solve

2 (- 5 x + 1) = 3 : x = - \frac{1}{10}

x = - \frac{1}{10}

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

2^{n - 1} = 60000

x, 3^{x} - 3^{x - 1} = 54

8^{- x} = \frac{1}{64}

2^{y} = 2

What is the answer to 24=3(4)^{-5x+1} ?
The answer to 24=3(4)^{-5x+1} is x=-1/10
Solve for x: 24=3(4)^{-5x+1}
The solution is x=-1/10