What is (3ln(7))/(ln(14)-ln(7)) ?

The solution to (3ln(7))/(ln(14)-ln(7)) is (3ln(7))/(ln(2))

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simplify (3ln(7))/(ln(14)-ln(7))

simplify

\frac{3 ln ( 7 )}{ln ( 14 ) - ln ( 7 )}

\frac{3 ln ( 7 )}{ln ( 2 )}

Decimal Notation

8.42206 \dots

Solution steps

\frac{3 ln ( 7 )}{ln ( 14 ) - ln ( 7 )}

Apply log rule:

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

ln (14) - ln (7) = ln (\frac{14}{7})

= \frac{3 ln ( 7 )}{ln ( \frac{14}{7} )}

Divide the numbers:

\frac{14}{7} = 2

= \frac{3 ln ( 7 )}{ln ( 2 )}

2 lo g_{\frac{m}{n}} (x)

lo g_{a} (\frac{b ^{3}}{c ^{4} d ^{7}})

4 ln (x) - \frac{1}{6} ln (y)

lo g_{10} (32 x)

ln (\frac{1}{1.7})

What is (3ln(7))/(ln(14)-ln(7)) ?
The solution to (3ln(7))/(ln(14)-ln(7)) is (3ln(7))/(ln(2))