What is the answer to 8^{-x}=1.2 ?

The answer to 8^{-x}=1.2 is x=-(ln(1.2))/(3ln(2))

Solve for x: 8^{-x}=1.2

The solution is x=-(ln(1.2))/(3ln(2))

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8^{- x} = 1.2

x = - \frac{ln ( 1.2 )}{3 ln ( 2 )}

Decimal Notation

x = - 0.08767 \dots

Solution steps

8^{- x} = 1.2

Apply exponent rules

- x ln (8) = ln (1.2)

Solve

- x ln (8) = ln (1.2) : x = - \frac{ln ( 1.2 )}{3 ln ( 2 )}

x = - \frac{ln ( 1.2 )}{3 ln ( 2 )}

e^{3 k} = 27

16 \cdot 4^{x - 4} = 9^{2 x - 3}

5^{x} = 3^{x + 1}

x, A^{x} = BC

e^{x + 2} = 2 k + 1

What is the answer to 8^{-x}=1.2 ?
The answer to 8^{-x}=1.2 is x=-(ln(1.2))/(3ln(2))
Solve for x: 8^{-x}=1.2
The solution is x=-(ln(1.2))/(3ln(2))