What is ln(((y-9)^4x^2)/(\sqrt[4]{y)}) ?

The solution to ln(((y-9)^4x^2)/(\sqrt[4]{y)}) is 4ln(y-9)+2ln(x)-ln(\sqrt[4]{y})

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simplify ln(((y-9)^4x^2)/(\sqrt[4]{y)})

simplify

Solution steps

Apply log rule:

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln ((y - 9)^{4} x^{2}) = ln ((y - 9)^{4}) + ln (x^{2})

Apply log rule:

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

ln ((y - 9)^{4}) = 4 ln (y - 9)

Apply log rule:

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

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

(ln (100) - ln (95)) \cdot 100

lo g_{5} (x - 2) + lo g_{5} (x - 6)

ln (\frac{y}{2 b ^{2}})

2 [3 ln (x) - ln (x + 6) - ln (x - 6)]

lo g_{10} (\frac{t}{11})

What is ln(((y-9)^4x^2)/(\sqrt[4]{y)}) ?
The solution to ln(((y-9)^4x^2)/(\sqrt[4]{y)}) is 4ln(y-9)+2ln(x)-ln(\sqrt[4]{y})