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Popular >

simplify ln(2|y|)-ln|y|

Solution

simplify

ln (2 ∣ y ∣) - ln ∣ y ∣

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (2 ∣ y ∣) - ln ∣ y ∣

Apply log rule:

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

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

= ln (\frac{2 ∣ y ∣}{∣ y ∣})

Cancel the common factor:

∣ y ∣

= ln (2)

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Frequently Asked Questions (FAQ)

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