What is (ln(4))/(ln(4)-ln(5)) ?

The solution to (ln(4))/(ln(4)-ln(5)) is (2ln(2))/(ln(4/5))

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simplify (ln(4))/(ln(4)-ln(5))

simplify

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

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

Decimal Notation

- 6.21256 \dots

Solution steps

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

Apply log rule:

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

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

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

Simplify

ln (4) : 2 ln (2)

= \frac{2 ln ( 2 )}{ln ( \frac{4}{5} )}

- (ln (6) - ln (5)) \cdot 5

lo g_{p} (\frac{3 ^{2} \cdot 4 ^{3} \cdot p ^{8} \cdot d ^{5}}{5 ^{4} \cdot 7 ^{3} \cdot p ^{4}})

f (x) = 2 ln (5 x^{2}) - ln (2 x^{2})

1.1 - \frac{0.0257}{2} ln (\frac{0.25}{1})

ln (\frac{2 ^{- 4}}{3 ^{- 3} 5 ^{- 1}})

What is (ln(4))/(ln(4)-ln(5)) ?
The solution to (ln(4))/(ln(4)-ln(5)) is (2ln(2))/(ln(4/5))