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Popular >

simplify ln((y^3)/7)

Solution

simplify

ln (\frac{y ^{3}}{7})

Solution

3 ln (y) - ln (7)

Solution steps

ln (\frac{y ^{3}}{7})

Apply log rule:

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

ln (\frac{y ^{3}}{7}) = ln (y^{3}) - ln (7)

= ln (y^{3}) - ln (7)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 3 ln (y) - ln (7)

Popular Examples

expand log_{w}((13w)/2)expand

lo g_{w} (\frac{13 w}{2})

simplify-log_{10}(2.19*10^{-3})simplify

- lo g_{10} (2.19 \cdot 1 0^{- 3})

simplify 1/(1.212855959*10^{-4)}ln(100/23)simplify

\frac{1}{1.212855959 \cdot 1 0 ^{- 4}} ln (\frac{100}{23})

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e^{((l n (x) - l n (θ)) (m - 1))}

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\frac{1}{4} ln (\frac{14}{5})

Frequently Asked Questions (FAQ)

What is ln((y^3)/7) ?
The solution to ln((y^3)/7) is 3ln(y)-ln(7)