What is the answer to 2^{1/x}=1.0168 ?

The answer to 2^{1/x}=1.0168 is x=(ln(2))/(ln(1.0168))

Solve for x: 2^{1/x}=1.0168

The solution is x=(ln(2))/(ln(1.0168))

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2^{\frac{1}{x}} = 1.0168

x = \frac{ln ( 2 )}{ln ( 1.0168 )}

Decimal Notation

x = 41.60437 \dots

Solution steps

2^{\frac{1}{x}} = 1.0168

Apply exponent rules

\frac{1}{x} ln (2) = ln (1.0168)

Solve

\frac{1}{x} ln (2) = ln (1.0168) : x = \frac{ln ( 2 )}{ln ( 1.0168 )}

x = \frac{ln ( 2 )}{ln ( 1.0168 )}

0.8794 = 1. 3^{(- x^{2})}

2^{2 x + 7} = 3^{x - 4}

2^{n - 1} = 360000

6 \cdot e^{x} = 25

e^{5 - 4 x} = 6

What is the answer to 2^{1/x}=1.0168 ?
The answer to 2^{1/x}=1.0168 is x=(ln(2))/(ln(1.0168))
Solve for x: 2^{1/x}=1.0168
The solution is x=(ln(2))/(ln(1.0168))