What is the answer to 3^{x/(14)}=0.1 ?

The answer to 3^{x/(14)}=0.1 is x=(14ln(0.1))/(ln(3))

Solve for x: 3^{x/(14)}=0.1

The solution is x=(14ln(0.1))/(ln(3))

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3^{\frac{x}{14}} = 0.1

x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

Decimal Notation

x = - 29.34264 \dots

Solution steps

3^{\frac{x}{14}} = 0.1

Apply exponent rules

\frac{x}{14} ln (3) = ln (0.1)

Solve

\frac{x}{14} ln (3) = ln (0.1) : x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

0.55 = 1.01 5^{- x}

1 6^{r - 2} = 6 4^{r + 2}

4 e^{2 x} - 16 = 0

e^{2 x} + 2 e^{x} - 24 = 0

5^{3 x + 1} = - 5

What is the answer to 3^{x/(14)}=0.1 ?
The answer to 3^{x/(14)}=0.1 is x=(14ln(0.1))/(ln(3))
Solve for x: 3^{x/(14)}=0.1
The solution is x=(14ln(0.1))/(ln(3))