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

The answer to 1/2 =log_{x}(sqrt(2)) is x=2

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1/2 =log_{x}(sqrt(2))

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

x = 2

Solution steps

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

Apply log rules

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot ln (x) = 2 ln (2)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{100} (x) = 1.5

lo g_{\frac{1}{4}} (x) = 0

lo g_{\frac{1}{4}} (x) = 1

ln (x + 7) - 2 ln (x + 1) = ln (16)

36 = 4 ln (x - 1)

What is the answer to 1/2 =log_{x}(sqrt(2)) ?
The answer to 1/2 =log_{x}(sqrt(2)) is x=2
Solve for x: 1/2 =log_{x}(sqrt(2))
The solution is x=2