What is the answer to 3^{x/(14)}= 1/10 ?

The answer to 3^{x/(14)}= 1/10 is x=-(14ln(10))/(ln(3))

Solve for x: 3^{x/(14)}= 1/10

The solution is x=-(14ln(10))/(ln(3))

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3^{\frac{x}{14}} = \frac{1}{10}

x = - \frac{14 ln ( 10 )}{ln ( 3 )}

Solution steps

3^{\frac{x}{14}} = \frac{1}{10}

Multiply both sides by

10

3^{\frac{x}{14}} \cdot 10 = \frac{1}{10} \cdot 10

Simplify

3^{\frac{x}{14}} \cdot 10 = 1

Divide both sides by

10

3^{\frac{x}{14}} = \frac{1}{10}

Apply exponent rules

\frac{x}{14} ln (3) = ln (\frac{1}{10})

Solve

\frac{x}{14} ln (3) = ln (\frac{1}{10}) : x = - \frac{14 ln ( 10 )}{ln ( 3 )}

x = - \frac{14 ln ( 10 )}{ln ( 3 )}

4^{(3 x - 7)} = 16

1 6^{n - 7} = 19

2^{2 x} - 2^{x + 1} = 0

e^{x} (x - 5) + 5 = 0

3^{17} = 3^{2 x + 3}

What is the answer to 3^{x/(14)}= 1/10 ?
The answer to 3^{x/(14)}= 1/10 is x=-(14ln(10))/(ln(3))
Solve for x: 3^{x/(14)}= 1/10
The solution is x=-(14ln(10))/(ln(3))