What is the answer to log_{x}(256)= 4/3 ?

The answer to log_{x}(256)= 4/3 is x=64

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log_{x}(256)= 4/3

lo g_{x} (256) = \frac{4}{3}

x = 64

Solution steps

lo g_{x} (256) = \frac{4}{3}

Apply log rules

\frac{1}{lo g _{256} ( x )} = \frac{4}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 3 = lo g_{256} (x) \cdot 4

Simplify

3 = lo g_{256} (x) \cdot 4

Switch sides

lo g_{256} (x) \cdot 4 = 3

Divide both sides by

4

lo g_{256} (x) = \frac{3}{4}

Apply log rules

x = 64

Verify Solutions:

x = 64

True

The solution is

x = 64

lo g_{0.5} ((x - 5)^{3}) = 3

lo g_{5} (x + 22) - lo g_{5} (x - 2) = 2

0.73 = lo g_{10} (x)

0 = 2 ln (x) + (ln (x))^{2}

lo g_{10} (x) = 4.968

What is the answer to log_{x}(256)= 4/3 ?
The answer to log_{x}(256)= 4/3 is x=64
Solve for x: log_{x}(256)= 4/3
The solution is x=64