What is simplify-(ln(18))/(3ln(2)-ln(3)) ?

The solution to simplify-(ln(18))/(3ln(2)-ln(3)) is -(ln(18))/(ln(8/3))

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simplify-(ln(18))/(3ln(2)-ln(3))

simplify

- \frac{ln ( 18 )}{3 ln ( 2 ) - ln ( 3 )}

- \frac{ln ( 18 )}{ln ( \frac{8}{3} )}

Decimal Notation

- 2.94686 \dots

Solution steps

- \frac{ln ( 18 )}{3 ln ( 2 ) - ln ( 3 )}

Apply log rule:

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

3 ln (2) = ln (2^{3})

= - \frac{ln ( 18 )}{ln ( 2 ^{3} ) - ln ( 3 )}

Apply log rule:

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

ln (2^{3}) - ln (3) = ln (\frac{2 ^{3}}{3})

= - \frac{ln ( 18 )}{ln ( \frac{2 ^{3}}{3} )}

2^{3} = 8

= - \frac{ln ( 18 )}{ln ( \frac{8}{3} )}

\frac{( ln ∣ x + 1 ∣ - ln ∣ x - 1 ∣ )}{2}

lo g_{e} (\frac{8}{3})

7.52 + lo g_{10} (\frac{0.02}{0.48})

lo g_{5} (\frac{a ^{5}}{b ^{8}})

lo g_{5} (\frac{x ^{2} ( 1 - 5 x ) ^{\frac{3}{2}}}{x ^{2} - x})

What is simplify-(ln(18))/(3ln(2)-ln(3)) ?
The solution to simplify-(ln(18))/(3ln(2)-ln(3)) is -(ln(18))/(ln(8/3))