What is (ln(3/2)ln(8/7))/(ln(7/6))+ln(1/2) ?

The solution to (ln(3/2)ln(8/7))/(ln(7/6))+ln(1/2) is (ln(3/2)ln(8/7))/(ln(7/6))++ln(1)-ln(2)

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simplify (ln(3/2)ln(8/7))/(ln(7/6))+ln(1/2)

simplify

\frac{ln ( \frac{3}{2} ) ln ( \frac{8}{7} )}{ln ( \frac{7}{6} )} + ln (\frac{1}{2})

\frac{ln ( \frac{3}{2} ) ln ( \frac{8}{7} )}{ln ( \frac{7}{6} )} + + ln (1) - ln (2)

Decimal Notation

- 0.34191 \dots

Solution steps

\frac{ln ( \frac{3}{2} ) ln ( \frac{8}{7} )}{ln ( \frac{7}{6} )} + ln (\frac{1}{2})

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= \frac{ln ( \frac{3}{2} ) ln ( \frac{8}{7} )}{ln ( \frac{7}{6} )} + + ln (1) - ln (2)

\frac{1}{3} ln (\frac{11}{5})

20000 - \frac{1}{4 ln ( 2 )}

0.9 \cdot lo g_{2} (0.9) + 0.1 \cdot lo g_{2} (0.1)

ln (2) - \frac{1}{2} - ln (\frac{1}{6}) - \frac{1}{24}

What is (ln(3/2)ln(8/7))/(ln(7/6))+ln(1/2) ?
The solution to (ln(3/2)ln(8/7))/(ln(7/6))+ln(1/2) is (ln(3/2)ln(8/7))/(ln(7/6))++ln(1)-ln(2)