What is the answer to log_{x}(1/2)=2 ?

The answer to log_{x}(1/2)=2 is x= 1/(e^{\frac{ln(2)){2}}}

Solve for x: log_{x}(1/2)=2

The solution is x= 1/(e^{\frac{ln(2)){2}}}

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lo g_{x} (\frac{1}{2}) = 2

x = \frac{1}{e ^{\frac{l n ( 2 )}{2}}}

Decimal Notation

x = 0.70710 \dots

Solution steps

lo g_{x} (\frac{1}{2}) = 2

Apply log rules

\frac{ln ( \frac{1}{2} )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{2} )}{ln ( x )} ln (x) = 2 ln (x)

Apply log rules

x = \frac{1}{e ^{\frac{l n ( 2 )}{2}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{l n ( 2 )}{2}}}

True

The solution is

x = \frac{1}{e ^{\frac{l n ( 2 )}{2}}}

3^{1 - l o g_{9} (x)} = x

lo g_{a} (x^{c}) = c lo g_{a} (x)

4^{2} \cdot lo g_{4} (x + 2) = 32

- 3.5 = 5 lo g_{10} (x) - 5

lo g_{- 2 x - 2} (3 x^{2} - 4 x - 16) = 2

What is the answer to log_{x}(1/2)=2 ?
The answer to log_{x}(1/2)=2 is x= 1/(e^{\frac{ln(2)){2}}}
Solve for x: log_{x}(1/2)=2
The solution is x= 1/(e^{\frac{ln(2)){2}}}