What is the answer to log_{x}(32)= 1/4 ?

The answer to log_{x}(32)= 1/4 is x=1048576

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log_{x}(32)= 1/4

lo g_{x} (32) = \frac{1}{4}

x = 1048576

Solution steps

lo g_{x} (32) = \frac{1}{4}

Apply log rules

\frac{1}{lo g _{32} ( x )} = \frac{1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 4 = lo g_{32} (x) \cdot 1

Simplify

4 = lo g_{32} (x)

Apply log rules

1048576 = x

Switch sides

x = 1048576

Verify Solutions:

x = 1048576

True

The solution is

x = 1048576

0 = 20 lo g_{10} (x)

lo g_{2} (3 x + 8) = 5

ln (\frac{x}{50}) = - a

lo g_{4} (x) + lo g_{x} (256) = 5

5 + ln (x - 1) = 3

What is the answer to log_{x}(32)= 1/4 ?
The answer to log_{x}(32)= 1/4 is x=1048576
Solve for x: log_{x}(32)= 1/4
The solution is x=1048576