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

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

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

simplify

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

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

Decimal Notation

3.51294 \dots

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{5 a}{2 b ^{3}})

ln (\frac{78}{90})

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

f (x) = ln (x) + ln (25)

ln (5) \cdot 3

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