What is the answer to log_{x}(25)= 1/2 ?

The answer to log_{x}(25)= 1/2 is x=625

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log_{x}(25)= 1/2

lo g_{x} (25) = \frac{1}{2}

x = 625

Solution steps

lo g_{x} (25) = \frac{1}{2}

Apply log rules

\frac{1}{lo g _{25} ( 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_{25} (x) \cdot 1

Simplify

2 = lo g_{25} (x)

Apply log rules

625 = x

Switch sides

x = 625

Verify Solutions:

x = 625

True

The solution is

x = 625

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

lo g_{5} (4 x + 3) - lo g_{5} (x - 1) = 2

3 ln (3 x + 10) - 15 = - 9

x, ln (x) = y + 1

lo g_{6} (x (13 - x)) = 2

What is the answer to log_{x}(25)= 1/2 ?
The answer to log_{x}(25)= 1/2 is x=625
Solve for x: log_{x}(25)= 1/2
The solution is x=625