What is the answer to 1.09^x=1.5 ?

The answer to 1.09^x=1.5 is x=(ln(1.5))/(ln(1.09))

Solve for x: 1.09^x=1.5

The solution is x=(ln(1.5))/(ln(1.09))

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1.0 9^{x} = 1.5

x = \frac{ln ( 1.5 )}{ln ( 1.09 )}

Decimal Notation

x = 4.70498 \dots

Solution steps

1.0 9^{x} = 1.5

Apply exponent rules

x ln (1.09) = ln (1.5)

Solve

x ln (1.09) = ln (1.5) : x = \frac{ln ( 1.5 )}{ln ( 1.09 )}

x = \frac{ln ( 1.5 )}{ln ( 1.09 )}

4^{- 3 v - 2} = 4^{- v}

e^{12 x} = 2

4 = \frac{1}{2} e^{- 1.2 x}

2^{3 x + 2} = 1024

y, e^{x y} = x

What is the answer to 1.09^x=1.5 ?
The answer to 1.09^x=1.5 is x=(ln(1.5))/(ln(1.09))
Solve for x: 1.09^x=1.5
The solution is x=(ln(1.5))/(ln(1.09))