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Popular >

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

Solution

simplify

3 ln (y) - 2 ln (t)

Solution

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

Solution steps

3 ln (y) - 2 ln (t)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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