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Popular >

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

Solution

simplify

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

Solution

0

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

Apply rule

\frac{a}{a} = 1

= ln (1)

Apply log rule:

lo g_{a} (1) = 0

= 0

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Frequently Asked Questions (FAQ)

What is 2ln(x)-ln(x^2) ?
The solution to 2ln(x)-ln(x^2) is 0