What is (ln(10)-ln(3))/(2ln(3)) ?

The solution to (ln(10)-ln(3))/(2ln(3)) is (ln(10/3))/(2ln(3))

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simplify (ln(10)-ln(3))/(2ln(3))

simplify

\frac{ln ( 10 ) - ln ( 3 )}{2 ln ( 3 )}

\frac{ln ( \frac{10}{3} )}{2 ln ( 3 )}

Decimal Notation

0.54795 \dots

Solution steps

\frac{ln ( 10 ) - ln ( 3 )}{2 ln ( 3 )}

Apply log rule:

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

ln (10) - ln (3) = ln (\frac{10}{3})

= \frac{ln ( \frac{10}{3} )}{2 ln ( 3 )}

ln (- α (x - θ)^{2})

ln (cos (a) rc t an x)

ln (\frac{5 x ^{3} - x}{3 x})

ln (\frac{3.64}{23}) + \frac{2 ( 2 )}{23}

\frac{1}{2} ln (x - 1) - \frac{1}{2} ln (x + 1)

What is (ln(10)-ln(3))/(2ln(3)) ?
The solution to (ln(10)-ln(3))/(2ln(3)) is (ln(10/3))/(2ln(3))