What is log_{8}((3x^3)/((4)(3))) ?

The solution to log_{8}((3x^3)/((4)(3))) is log_{2}(x)-2/3

Popular >

simplify log_{8}((3x^3)/((4)(3)))

simplify

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

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

Solution steps

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

(4) (3) = 4 \cdot 3

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

Simplify

\frac{3 x ^{3}}{4 \cdot 3} : \frac{x ^{3}}{4}

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

= lo g_{8} (x^{3}) - lo g_{8} (4)

lo g_{8} (x^{3}) = lo g_{2} (x)

lo g_{8} (4) = \frac{2}{3}

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

lo g_{4} (x + 1) + lo g_{4} (x) - 4 lo g_{4} (4)

3 ln (x) + \frac{1}{2} ln (y) - 4 ln (z)

lo g_{10} (x + 2) + lo g_{10} (x - 1)

lo g_{b} (\frac{7}{6})

ln (\frac{x ^{2} x ^{2} - 1}{e ^{x}})

What is log_{8}((3x^3)/((4)(3))) ?
The solution to log_{8}((3x^3)/((4)(3))) is log_{2}(x)-2/3