What is the answer to log_{x}(sqrt(3))= 1/2 ?

The answer to log_{x}(sqrt(3))= 1/2 is x=3

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log_{x}(sqrt(3))= 1/2

lo g_{x} (3) = \frac{1}{2}

x = 3

Solution steps

lo g_{x} (3) = \frac{1}{2}

Apply log rules

\frac{ln ( 3 )}{ln ( x )} = \frac{1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

ln (3) \cdot 2 = ln (x) \cdot 1

Apply log rules

3 = x

Switch sides

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

4.75 = - lo g_{10} (x)

- 2 lo g_{7} (2) = lo g_{7} (x)

3.75 = - lo g_{10} (x)

y, ln (y) = x + C

ln (7) + ln (2 - 4 x^{2}) = ln (14)

What is the answer to log_{x}(sqrt(3))= 1/2 ?
The answer to log_{x}(sqrt(3))= 1/2 is x=3
Solve for x: log_{x}(sqrt(3))= 1/2
The solution is x=3