What is the answer to 10^{-x}=9 ?

The answer to 10^{-x}=9 is x=-(2ln(3))/(ln(10))

Solve for x: 10^{-x}=9

The solution is x=-(2ln(3))/(ln(10))

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1 0^{- x} = 9

x = - \frac{2 ln ( 3 )}{ln ( 10 )}

Decimal Notation

x = - 0.95424 \dots

Solution steps

1 0^{- x} = 9

Apply exponent rules

- x ln (10) = ln (9)

Solve

- x ln (10) = ln (9) : x = - \frac{2 ln ( 3 )}{ln ( 10 )}

x = - \frac{2 ln ( 3 )}{ln ( 10 )}

x, e^{x} = t

6 4^{x + 3} = 25 6^{x + 5}

(\frac{1}{4})^{x} = 1

6^{x} = 32

6^{x} = 40

What is the answer to 10^{-x}=9 ?
The answer to 10^{-x}=9 is x=-(2ln(3))/(ln(10))
Solve for x: 10^{-x}=9
The solution is x=-(2ln(3))/(ln(10))