What is simplify-4(ln(4)-ln(8)) ?

The solution to simplify-4(ln(4)-ln(8)) is 4ln(2)

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simplify-4(ln(4)-ln(8))

simplify

- 4 (ln (4) - ln (8))

4 ln (2)

Decimal Notation

2.77258 \dots

Solution steps

- 4 (ln (4) - ln (8))

Apply log rule:

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

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

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

Cancel the common factor:

4

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

Simplify

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

= - 4 (- ln (2))

Apply rule

- (- a) = a

= 4 ln (2)

ln (\frac{ln ( 0.2 )}{ln ( 0.8 )})

ln (\frac{e ^{3}}{17})

ln (7 \cdot e^{- x + 5})

ln (\frac{1}{4 x} \cdot e^{\frac{- 1}{2}})

4 ln (1 + 2)

What is simplify-4(ln(4)-ln(8)) ?
The solution to simplify-4(ln(4)-ln(8)) is 4ln(2)