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Popular >

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

Solution

simplify

2 ln (a) - 4 ln (y)

Solution

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

Solution steps

2 ln (a) - 4 ln (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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