What is the answer to 0.55=1.015^{-x} ?

The answer to 0.55=1.015^{-x} is x=-(ln(0.55))/(ln(1.015))

Solve for x: 0.55=1.015^{-x}

The solution is x=-(ln(0.55))/(ln(1.015))

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0.55 = 1.01 5^{- x}

x = - \frac{ln ( 0.55 )}{ln ( 1.015 )}

Decimal Notation

x = 40.15397 \dots

Solution steps

0.55 = 1.01 5^{- x}

Apply exponent rules

ln (0.55) = - x ln (1.015)

Solve

ln (0.55) = - x ln (1.015) : x = - \frac{ln ( 0.55 )}{ln ( 1.015 )}

x = - \frac{ln ( 0.55 )}{ln ( 1.015 )}

1 6^{r - 2} = 6 4^{r + 2}

4 e^{2 x} - 16 = 0

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

5^{3 x + 1} = - 5

3^{2 x} = 9^{5 x - 4}

What is the answer to 0.55=1.015^{-x} ?
The answer to 0.55=1.015^{-x} is x=-(ln(0.55))/(ln(1.015))
Solve for x: 0.55=1.015^{-x}
The solution is x=-(ln(0.55))/(ln(1.015))