What is the answer to 1.21^x=100 ?

The answer to 1.21^x=100 is x=(2ln(10))/(ln(1.21))

Solve for x: 1.21^x=100

The solution is x=(2ln(10))/(ln(1.21))

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1.2 1^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 1.21 )}

Decimal Notation

x = 24.15885 \dots

Solution steps

1.2 1^{x} = 100

Apply exponent rules

x ln (1.21) = ln (100)

Solve

x ln (1.21) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 1.21 )}

x = \frac{2 ln ( 10 )}{ln ( 1.21 )}

4^{- 6} x = 1 7^{x} + 4

4^{x} \cdot 4^{2 x - 8} = 64

(\frac{1}{4})^{3 - x} = 64

2 5^{x} + 125 = 5^{x + 1}

100 0^{1000} = 10 0^{x}

What is the answer to 1.21^x=100 ?
The answer to 1.21^x=100 is x=(2ln(10))/(ln(1.21))
Solve for x: 1.21^x=100
The solution is x=(2ln(10))/(ln(1.21))