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

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

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

simplify

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

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

Decimal Notation

0.73696 \dots

Solution steps

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

Apply log rule:

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

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

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

lo g_{6} (6 x^{3} y^{4})

ln (\frac{sin ( x )}{x ^{2}})

ln (sin (9) x^{3})

ln (m^{2} e^{m x})

lo g_{10} (18.4 \cdot 1 0^{12}) - 6

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