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Popular >

simplify ln(2x)-ln(x)

Solution

simplify

ln (2 x) - ln (x)

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (2 x) - ln (x)

Apply log rule:

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

ln (2 x) - ln (x) = ln (\frac{2 x}{x})

= ln (\frac{2 x}{x})

Cancel the common factor:

x

= ln (2)

Popular Examples

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lo g_{a} (\frac{x y}{z ^{2}})

Frequently Asked Questions (FAQ)

What is ln(2x)-ln(x) ?
The solution to ln(2x)-ln(x) is ln(2)