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Popular >

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

Solution

simplify

4 ln (x) - 4 ln (y)

Solution

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

Solution steps

4 ln (x) - 4 ln (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

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lo g_{5} (x) - lo g_{5} (x^{4})

simplify-0.55log_{2}(0.55)-0.45log_{2}(0.45)simplify

- 0.55 lo g_{2} (0.55) - 0.45 lo g_{2} (0.45)

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lo g_{2} (\frac{x}{y})

simplify 1/3 log_{c}(x)+3log_{c}(y)-4log_{c}(x)simplify

\frac{1}{3} lo g_{c} (x) + 3 lo g_{c} (y) - 4 lo g_{c} (x)

simplify log_{3}(x)+log_{3}(x+2)simplify

lo g_{3} (x) + lo g_{3} (x + 2)

Frequently Asked Questions (FAQ)

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