What is the answer to log_{x}(10)= 1/4 ?

The answer to log_{x}(10)= 1/4 is x=10000

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log_{x}(10)= 1/4

lo g_{x} (10) = \frac{1}{4}

x = 10000

Solution steps

lo g_{x} (10) = \frac{1}{4}

Apply log rules

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

Simplify

4 = lo g_{10} (x)

Apply log rules

10000 = x

Switch sides

x = 10000

Verify Solutions:

x = 10000

True

The solution is

x = 10000

lo g_{x} (100000) = 3

0.4634 = 0.6446 ln (x) - 0.5557

lo g_{10} (343) = 3 lo g_{10} (x)

ln ((x - 6)^{3}) = 5

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

What is the answer to log_{x}(10)= 1/4 ?
The answer to log_{x}(10)= 1/4 is x=10000
Solve for x: log_{x}(10)= 1/4
The solution is x=10000