What is simplify-(ln(531441g))/(3ln(3)-ln(g)) ?

The solution to simplify-(ln(531441g))/(3ln(3)-ln(g)) is -(ln(531441g)}{ln(\frac{27)/g)}

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simplify-(ln(531441g))/(3ln(3)-ln(g))

simplify

- \frac{ln ( 531441 g )}{3 ln ( 3 ) - ln ( g )}

- \frac{ln ( 531441 g )}{ln ( \frac{27}{g} )}

Solution steps

- \frac{ln ( 531441 g )}{3 ln ( 3 ) - ln ( g )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (3) = ln (3^{3})

= - \frac{ln ( 531441 g )}{- ln ( g ) + ln ( 3 ^{3} )}

Apply log rule:

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

ln (3^{3}) - ln (g) = ln (\frac{3 ^{3}}{g})

= - \frac{ln ( 531441 g )}{ln ( \frac{3 ^{3}}{g} )}

3^{3} = 27

= - \frac{ln ( 531441 g )}{ln ( \frac{27}{g} )}

lo g_{2} (2 x)

ln (\frac{x ^{3}}{x ( 1 + x ) ^{5}})

lo g_{5} (\frac{x ^{\frac{4}{3}}}{y ^{\frac{5}{4}} z ^{\frac{3}{2}}})

4 ln (z + 5) - 2 ln (z - 5)

ln (10 \cdot 1 0^{- 12} \cdot \frac{1}{3.86 e - 16})

What is simplify-(ln(531441g))/(3ln(3)-ln(g)) ?
The solution to simplify-(ln(531441g))/(3ln(3)-ln(g)) is -(ln(531441g)}{ln(\frac{27)/g)}