What is the answer to log_{x}(sqrt(7))= 1/2 ?

The answer to log_{x}(sqrt(7))= 1/2 is x=7

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log_{x}(sqrt(7))= 1/2

lo g_{x} (7) = \frac{1}{2}

x = 7

Solution steps

lo g_{x} (7) = \frac{1}{2}

Apply log rules

\frac{ln ( 7 )}{ln ( x )} = \frac{1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

ln (7) \cdot 2 = ln (x) \cdot 1

Apply log rules

7 = x

Switch sides

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

u, ln (u) - ln (1 - u) = t + C

lo g_{x} (4) = - \frac{2}{3}

3 ln (6 x - 5) + 4 = - 9

x, 2 ln (7 x) = - 2

60 = 20 lo g_{10} (\frac{x}{100})

What is the answer to log_{x}(sqrt(7))= 1/2 ?
The answer to log_{x}(sqrt(7))= 1/2 is x=7
Solve for x: log_{x}(sqrt(7))= 1/2
The solution is x=7