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Popular >

simplify ln(x^2)-ln(2x)

Solution

simplify

ln (x^{2}) - ln (2 x)

Solution

ln (\frac{x}{2})

Solution steps

ln (x^{2}) - ln (2 x)

Apply log rule:

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

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

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

Cancel the common factor:

x

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

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Frequently Asked Questions (FAQ)

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