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

The answer to log_{x}(1/3)=10 is x= 1/(e^{\frac{ln(3)){10}}}

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

The solution is x= 1/(e^{\frac{ln(3)){10}}}

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lo g_{x} (\frac{1}{3}) = 10

x = \frac{1}{e ^{\frac{l n ( 3 )}{10}}}

Decimal Notation

x = 0.89595 \dots

Solution steps

lo g_{x} (\frac{1}{3}) = 10

Apply log rules

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

Multiply both sides by

ln (x)

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

Apply log rules

x = \frac{1}{e ^{\frac{l n ( 3 )}{10}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{l n ( 3 )}{10}}}

True

The solution is

x = \frac{1}{e ^{\frac{l n ( 3 )}{10}}}

0.78 = ln (y)

lo g_{7} (8) = 3 lo g_{7} (x)

x, t = lo g_{10} (x)

lo g_{2} (lo g_{2} (x)) = 0

lo g_{5} (x + 1) = lo g_{5} (2 + 2 x)

What is the answer to log_{x}(1/3)=10 ?
The answer to log_{x}(1/3)=10 is x= 1/(e^{\frac{ln(3)){10}}}
Solve for x: log_{x}(1/3)=10
The solution is x= 1/(e^{\frac{ln(3)){10}}}