What is the answer to log_{x}(10)= 1/2 ?

The answer to log_{x}(10)= 1/2 is x=100

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log_{x}(10)= 1/2

lo g_{x} (10) = \frac{1}{2}

x = 100

Solution steps

lo g_{x} (10) = \frac{1}{2}

Apply log rules

\frac{1}{lo g _{10} ( x )} = \frac{1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 2 = lo g_{10} (x) \cdot 1

Simplify

2 = lo g_{10} (x)

Apply log rules

100 = x

Switch sides

x = 100

Verify Solutions:

x = 100

True

The solution is

x = 100

x, lo g_{x} (64) = 2

lo g_{2 x^{2}} (x^{3} + x) = 1

10 = ln (x)

5000 \cdot lo g_{2} (n) = n

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

What is the answer to log_{x}(10)= 1/2 ?
The answer to log_{x}(10)= 1/2 is x=100
Solve for x: log_{x}(10)= 1/2
The solution is x=100