What is the answer to (4/5)^{1/x}=3 ?

The answer to (4/5)^{1/x}=3 is x=(ln(4/5))/(ln(3))

Solve for x: (4/5)^{1/x}=3

The solution is x=(ln(4/5))/(ln(3))

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(\frac{4}{5})^{\frac{1}{x}} = 3

x = \frac{ln ( \frac{4}{5} )}{ln ( 3 )}

Decimal Notation

x = - 0.20311 \dots

Solution steps

(\frac{4}{5})^{\frac{1}{x}} = 3

Apply exponent rules

\frac{1}{x} ln (\frac{4}{5}) = ln (3)

Solve

\frac{1}{x} ln (\frac{4}{5}) = ln (3) : x = \frac{ln ( \frac{4}{5} )}{ln ( 3 )}

x = \frac{ln ( \frac{4}{5} )}{ln ( 3 )}

e^{2 x} + 2 e^{x} - 15 = 0

4^{x} = 4^{5}

3^{x} \cdot 5^{x - 1} = 10125

4 e^{3 x - 2} = 244

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

What is the answer to (4/5)^{1/x}=3 ?
The answer to (4/5)^{1/x}=3 is x=(ln(4/5))/(ln(3))
Solve for x: (4/5)^{1/x}=3
The solution is x=(ln(4/5))/(ln(3))