What is the answer to 1.1^x=100 ?

The answer to 1.1^x=100 is x=(2ln(10))/(ln(1.1))

Solve for x: 1.1^x=100

The solution is x=(2ln(10))/(ln(1.1))

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1. 1^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 1.1 )}

Decimal Notation

x = 48.31771 \dots

Solution steps

1. 1^{x} = 100

Apply exponent rules

x ln (1.1) = ln (100)

Solve

x ln (1.1) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 1.1 )}

x = \frac{2 ln ( 10 )}{ln ( 1.1 )}

1. 2^{x} = (0.5)^{- x}

x, e^{- 1} = e^{x y}

2 5^{x} + 5^{x + 1} = 750

2^{x + 1} = 7

e^{4 x - 5} = 13

What is the answer to 1.1^x=100 ?
The answer to 1.1^x=100 is x=(2ln(10))/(ln(1.1))
Solve for x: 1.1^x=100
The solution is x=(2ln(10))/(ln(1.1))