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Popular >

simplify ln(y/(x^4))

Solution

simplify

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

Solution

ln (y) - 4 ln (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (y) - 4 ln (x)

Popular Examples

simplify-log_{10}(4.12*10^{-3})simplify

- lo g_{10} (4.12 \cdot 1 0^{- 3})

simplify ln((x^2+1)/(x+1))simplify

ln (\frac{x ^{2} + 1}{x + 1})

simplify (ln(2e))^2+3ln(2e)simplify

(ln (2 e))^{2} + 3 ln (2 e)

simplify-log_{10}(2.1*10^{-9})simplify

- lo g_{10} (2.1 \cdot 1 0^{- 9})

simplify 5log_{3}(u)+4log_{3}(v)simplify

5 lo g_{3} (u) + 4 lo g_{3} (v)

Frequently Asked Questions (FAQ)

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