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Popular >

simplify ln(5x^2)-ln(2x^2)

Solution

simplify

ln (5 x^{2}) - ln (2 x^{2})

Solution

ln (\frac{5}{2})

+1

Decimal Notation

0.91629 \dots

Solution steps

ln (5 x^{2}) - ln (2 x^{2})

Apply log rule:

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

ln (5 x^{2}) - ln (2 x^{2}) = ln (\frac{5 x ^{2}}{2 x ^{2}})

= ln (\frac{5 x ^{2}}{2 x ^{2}})

Cancel the common factor:

x^{2}

= ln (\frac{5}{2})

Popular Examples

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lo g_{10} (\frac{5}{2})

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Frequently Asked Questions (FAQ)

What is ln(5x^2)-ln(2x^2) ?
The solution to ln(5x^2)-ln(2x^2) is ln(5/2)