What is simplify-(ln(5))/(2ln(3)-ln(5)) ?

The solution to simplify-(ln(5))/(2ln(3)-ln(5)) is -(ln(5))/(ln(9/5))

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simplify-(ln(5))/(2ln(3)-ln(5))

simplify

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

- \frac{ln ( 5 )}{ln ( \frac{9}{5} )}

Decimal Notation

- 2.73813 \dots

Solution steps

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

Apply log rule:

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

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

= - \frac{ln ( 5 )}{ln ( 3 ^{2} ) - ln ( 5 )}

Apply log rule:

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

ln (3^{2}) - ln (5) = ln (\frac{3 ^{2}}{5})

= - \frac{ln ( 5 )}{ln ( \frac{3 ^{2}}{5} )}

3^{2} = 9

= - \frac{ln ( 5 )}{ln ( \frac{9}{5} )}

ln (y) ln ((ln (x))^{c o s (x)})

ln (\frac{3}{3})

e^{11} + ln (11 x)

- lo g_{10} (5.2 \cdot 1 0^{- 9})

ln (\frac{9}{13}) + 3

What is simplify-(ln(5))/(2ln(3)-ln(5)) ?
The solution to simplify-(ln(5))/(2ln(3)-ln(5)) is -(ln(5))/(ln(9/5))