What is (ln(10)-ln(8))/((8-6)) ?

The solution to (ln(10)-ln(8))/((8-6)) is (ln(5/4))/2

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simplify (ln(10)-ln(8))/((8-6))

simplify

\frac{ln ( 10 ) - ln ( 8 )}{( 8 - 6 )}

\frac{ln ( \frac{5}{4} )}{2}

Decimal Notation

0.11157 \dots

Solution steps

\frac{ln ( 10 ) - ln ( 8 )}{( 8 - 6 )}

Apply log rule:

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

ln (10) - ln (8) = ln (\frac{10}{8})

= \frac{ln ( \frac{10}{8} )}{8 - 6}

Cancel the common factor:

2

= \frac{ln ( \frac{5}{4} )}{8 - 6}

Subtract the numbers:

8 - 6 = 2

= \frac{ln ( \frac{5}{4} )}{2}

ln (\frac{0.365}{1.10325})

ln (6) + 4 ln (2)

- ln (x) - ln (1 + 2 u)

ln (\frac{1}{e \frac{y}{x}})

What is (ln(10)-ln(8))/((8-6)) ?
The solution to (ln(10)-ln(8))/((8-6)) is (ln(5/4))/2