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Popular >

simplify 8ln(x)-4ln(y)

Solution

simplify

8 ln (x) - 4 ln (y)

Solution

ln (\frac{x ^{8}}{y ^{4}})

Solution steps

8 ln (x) - 4 ln (y)

Apply log rule:

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

8 ln (x) = ln (x^{8})

= ln (x^{8}) - 4 ln (y)

Apply log rule:

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

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

= ln (x^{8}) - ln (y^{4})

Apply log rule:

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

ln (x^{8}) - ln (y^{4}) = ln (\frac{x ^{8}}{y ^{4}})

= ln (\frac{x ^{8}}{y ^{4}})

Popular Examples

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3 lo g_{5} (m) - lo g_{5} (n) - 2 lo g_{5} (p)

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lo g_{10} (m) + 3 lo g_{10} (r) - 9 lo g_{10} (m)

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\frac{1}{3} (ln (x) - 2 ln (y))

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Frequently Asked Questions (FAQ)

What is 8ln(x)-4ln(y) ?
The solution to 8ln(x)-4ln(y) is ln((x^8)/(y^4))