What is the answer to 5^x= 6/11 ?

The answer to 5^x= 6/11 is x=(ln(6/11))/(ln(5))

Solve for x: 5^x= 6/11

The solution is x=(ln(6/11))/(ln(5))

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5^{x} = \frac{6}{11}

x = \frac{ln ( \frac{6}{11} )}{ln ( 5 )}

Decimal Notation

x = - 0.37661 \dots

Solution steps

5^{x} = \frac{6}{11}

Apply exponent rules

x ln (5) = ln (\frac{6}{11})

Solve

x ln (5) = ln (\frac{6}{11}) : x = \frac{ln ( \frac{6}{11} )}{ln ( 5 )}

x = \frac{ln ( \frac{6}{11} )}{ln ( 5 )}

5^{3 x - 2} = 40

2^{2 x - 1} - 5 \cdot 2^{x - 1} + 2 = 0

2. 4^{x} + 3 = 20

(\frac{5}{3})^{4 x - 12} = 1

g (4) = 3 e^{t} - 2 t

What is the answer to 5^x= 6/11 ?
The answer to 5^x= 6/11 is x=(ln(6/11))/(ln(5))
Solve for x: 5^x= 6/11
The solution is x=(ln(6/11))/(ln(5))