What is the answer to 3^x= 14/25 ?

The answer to 3^x= 14/25 is x=(ln(14/25))/(ln(3))

Solve for x: 3^x= 14/25

The solution is x=(ln(14/25))/(ln(3))

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3^{x} = \frac{14}{25}

x = \frac{ln ( \frac{14}{25} )}{ln ( 3 )}

Decimal Notation

x = - 0.52777 \dots

Solution steps

3^{x} = \frac{14}{25}

Apply exponent rules

x ln (3) = ln (\frac{14}{25})

Solve

x ln (3) = ln (\frac{14}{25}) : x = \frac{ln ( \frac{14}{25} )}{ln ( 3 )}

x = \frac{ln ( \frac{14}{25} )}{ln ( 3 )}

3^{3 x + 1} = 9^{x + 4}

5^{5 - x} = 2^{5 - x}

5^{3 x - 1} = 3^{1 - 2 x}

3^{2 x - 1} - 3^{x} = 18

2^{x} - 3 = 8

What is the answer to 3^x= 14/25 ?
The answer to 3^x= 14/25 is x=(ln(14/25))/(ln(3))
Solve for x: 3^x= 14/25
The solution is x=(ln(14/25))/(ln(3))