What is ((ln(85.2)-ln(115)))/((2)) ?

The solution to ((ln(85.2)-ln(115)))/((2)) is (ln(0.74086…))/2

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simplify ((ln(85.2)-ln(115)))/((2))

simplify

\frac{( ln ( 85.2 ) - ln ( 115 ) )}{( 2 )}

\frac{ln ( 0.74086 \dots )}{2}

Decimal Notation

- 0.14996 \dots

Solution steps

\frac{( ln ( 85.2 ) - ln ( 115 ) )}{( 2 )}

Apply log rule:

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

ln (85.2) - ln (115) = ln (\frac{85.2}{115})

= \frac{ln ( \frac{85.2}{115} )}{2}

Divide the numbers:

\frac{85.2}{115} = 0.74086 \dots

= \frac{ln ( 0.74086 \dots )}{2}

ln (\frac{1 0 ^{9}}{( 1.5 )})

- ln (6) - ln (5) + ln (5) - 2 ln (2)

\frac{0.0030597}{0.5 \cdot \frac{1}{60}} ln (\frac{0.008}{0.04})

\frac{1}{0. 1 ^{2}} ln (\frac{1}{0.1})

ln (\frac{( x ) ( x ^{2} + 1 ) ^{2}}{2 x ^{3} - 1})

What is ((ln(85.2)-ln(115)))/((2)) ?
The solution to ((ln(85.2)-ln(115)))/((2)) is (ln(0.74086…))/2