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Popular >

simplify 2ln(x)-4ln(y)

Solution

simplify

2 ln (x) - 4 ln (y)

Solution

ln (\frac{x ^{2}}{y ^{4}})

Solution steps

2 ln (x) - 4 ln (y)

Apply log rule:

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

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

= ln (x^{2}) - 4 ln (y)

Apply log rule:

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

4 ln (y) = ln (y^{4})

= ln (x^{2}) - ln (y^{4})

Apply log rule:

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

ln (x^{2}) - ln (y^{4}) = ln (\frac{x ^{2}}{y ^{4}})

= ln (\frac{x ^{2}}{y ^{4}})

Popular Examples

simplify 1/3 ln(y)+ln(z)simplify

\frac{1}{3} ln (y) + ln (z)

simplify log_{4}(x^2-64)-5log_{4}(x+8)simplify

lo g_{4} (x^{2} - 64) - 5 lo g_{4} (x + 8)

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lo g_{10} (6) - 3 lo g_{10} (\frac{1}{3})

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lo g_{10} (y) + 14 lo g_{10} (z)

Frequently Asked Questions (FAQ)

What is 2ln(x)-4ln(y) ?
The solution to 2ln(x)-4ln(y) is ln((x^2)/(y^4))