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Popular >

simplify ln|ln(4)|-ln|ln(2)|

Solution

simplify

ln ∣ ln (4) ∣ - ln ∣ ln (2) ∣

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln ∣ ln (4) ∣ - ln ∣ ln (2) ∣

Apply log rule:

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

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

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

\frac{∣ ln ( 4 ) ∣}{∣ ln ( 2 ) ∣} = 2

= ln (2)

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Frequently Asked Questions (FAQ)

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