What is the answer to 2.5^{-4x}=6.4 ?

The answer to 2.5^{-4x}=6.4 is x=-(ln(6.4))/(4ln(2.5))

Solve for x: 2.5^{-4x}=6.4

The solution is x=-(ln(6.4))/(4ln(2.5))

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2. 5^{- 4 x} = 6.4

x = - \frac{ln ( 6.4 )}{4 ln ( 2.5 )}

Solution steps

2. 5^{- 4 x} = 6.4

Apply exponent rules

- 4 x ln (2.5) = ln (6.4)

Solve

- 4 x ln (2.5) = ln (6.4) : x = - \frac{ln ( 6.4 )}{4 ln ( 2.5 )}

x = - \frac{ln ( 6.4 )}{4 ln ( 2.5 )}

15 = 3 (8)^{- x - 4}

3^{2 x} + 3^{x + 1} - 4 = 0

8^{x} = 1 6^{x}

6^{- 2 x} = 6^{2 - 3 x}

e^{2 x} - 2 e^{x} - 24 = 0

What is the answer to 2.5^{-4x}=6.4 ?
The answer to 2.5^{-4x}=6.4 is x=-(ln(6.4))/(4ln(2.5))
Solve for x: 2.5^{-4x}=6.4
The solution is x=-(ln(6.4))/(4ln(2.5))