What is 4/5 ln(27027/625) ?

The solution to 4/5 ln(27027/625) is 4/5 (ln(27027)-4ln(5))

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simplify 4/5 ln(27027/625)

simplify

\frac{4}{5} ln (\frac{27027}{625})

\frac{4}{5} (ln (27027) - 4 ln (5))

Decimal Notation

3.01347 \dots

Solution steps

\frac{4}{5} ln (\frac{27027}{625})

Apply log rule:

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

ln (\frac{27027}{625}) = ln (27027) - ln (625)

= \frac{4}{5} (ln (27027) - ln (625))

ln (625) = 4 ln (5)

= \frac{4}{5} (ln (27027) - 4 ln (5))

lo g_{10} (\frac{x ^{2} \cdot y ^{3}}{y \cdot z ^{2}})

\frac{ln ( 5 ) - ln ( 4 )}{ln ( 3 ) - ln ( 2 )}

lo g_{4} (\frac{1}{16} x)

ln (\frac{25}{7})

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

What is 4/5 ln(27027/625) ?
The solution to 4/5 ln(27027/625) is 4/5 (ln(27027)-4ln(5))