What is 1/3 (ln(64)-ln(8x^3)) ?

The solution to 1/3 (ln(64)-ln(8x^3)) is 1/3 ln(8/(x^3))

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simplify 1/3 (ln(64)-ln(8x^3))

simplify

\frac{1}{3} (ln (64) - ln (8 x^{3}))

\frac{1}{3} ln (\frac{8}{x ^{3}})

Solution steps

\frac{1}{3} (ln (64) - ln (8 x^{3}))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (64) - ln (8 x^{3}) = ln (\frac{64}{8 x ^{3}})

= \frac{1}{3} ln (\frac{64}{8 x ^{3}})

Divide the numbers:

\frac{64}{8} = 8

= \frac{1}{3} ln (\frac{8}{x ^{3}})

lo g_{x} (22)

lo g_{b} (y z^{6})

lo g_{10} (\frac{R ^{5} S ^{4}}{Z ^{6}})

- lo g_{10} (3.5 \cdot 1 0^{- 4})

What is 1/3 (ln(64)-ln(8x^3)) ?
The solution to 1/3 (ln(64)-ln(8x^3)) is 1/3 ln(8/(x^3))