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

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

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

simplify

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

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

Decimal Notation

- 0.58496 \dots

Solution steps

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

Apply log rule:

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

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

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

\frac{1}{2} lo g_{10} (x) - 6 lo g_{10} (y)

lo g_{2} ((m + n) \cdot p)

lo g_{10} (\frac{x}{1000 y ^{8}})

lo g_{10} (\frac{u ^{2} + v ^{2}}{100})

\frac{1}{2} (lo g_{3} (s) + lo g_{3} (t))

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