What is the answer to -3log_{x}(1/4)=-2 ?

The answer to -3log_{x}(1/4)=-2 is x= 1/8

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-3log_{x}(1/4)=-2

- 3 lo g_{x} (\frac{1}{4}) = - 2

x = \frac{1}{8}

Decimal

x = 0.125

Solution steps

- 3 lo g_{x} (\frac{1}{4}) = - 2

Divide both sides by

- 3

lo g_{x} (\frac{1}{4}) = \frac{2}{3}

Apply log rules

\frac{ln ( \frac{1}{4} )}{ln ( x )} = \frac{2}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

ln (\frac{1}{4}) \cdot 3 = ln (x) \cdot 2

Apply log rules

x = \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

The solution is

x = \frac{1}{8}

x ln (3 x - 5) = 0

x + lo g_{10} (x + 9) = 1

d, p = 42.6 + 26 lo g_{10} (d) + 20

lo g_{8} (x) = (\frac{4}{3})

\frac{- 2 ln ( x ) + 1}{x ^{3}} = 0

What is the answer to -3log_{x}(1/4)=-2 ?
The answer to -3log_{x}(1/4)=-2 is x= 1/8
Solve for x: -3log_{x}(1/4)=-2
The solution is x= 1/8