What is ln((x^4+y^4)/(x^4)) ?

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

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simplify ln((x^4+y^4)/(x^4))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (y^{2} + 2) - ln (y^{2} - 2)

- lo g_{10} (3.37 \cdot 1 0^{- 6})

ln ((3 x + 2)^{x s i n (x)})

ln (3 (10))

e n^{l n (9) - l n (7)}

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