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Popular >

simplify 2ln(x)-3ln(y)

Solution

simplify

2 ln (x) - 3 ln (y)

Solution

ln (\frac{x ^{2}}{y ^{3}})

Solution steps

2 ln (x) - 3 ln (y)

Apply log rule:

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

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

= ln (x^{2}) - 3 ln (y)

Apply log rule:

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

3 ln (y) = ln (y^{3})

= ln (x^{2}) - ln (y^{3})

Apply log rule:

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

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

= ln (\frac{x ^{2}}{y ^{3}})

Popular Examples

simplify-log_{10}(4.1\times 10^{-3})simplify

- lo g_{10} (4.1 \times 1 0^{- 3})

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ln (\frac{1}{12 1 ^{k}})

simplify log_{10}(x)-1/2 log_{10}(y)+6log_{10}(z)simplify

lo g_{10} (x) - \frac{1}{2} lo g_{10} (y) + 6 lo g_{10} (z)

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- lo g_{10} (1.75 \cdot 1 0^{- 5})

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Frequently Asked Questions (FAQ)

What is 2ln(x)-3ln(y) ?
The solution to 2ln(x)-3ln(y) is ln((x^2)/(y^3))