What is expand log_{4}(((w^4u^4)/v)^2) ?

The solution to expand log_{4}(((w^4u^4)/v)^2) is 2(log_{4}(w^4u^4)-log_{4}(v))

Popular >

expand log_{4}(((w^4u^4)/v)^2)

expand

lo g_{4} ((\frac{w ^{4} u ^{4}}{v})^{2})

2 (lo g_{4} (w^{4} u^{4}) - lo g_{4} (v))

Solution steps

lo g_{4} ((\frac{w ^{4} u ^{4}}{v})^{2})

Apply log rule:

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

lo g_{4} ((\frac{w ^{4} u ^{4}}{v})^{2}) = 2 lo g_{4} (\frac{w ^{4} u ^{4}}{v})

= 2 lo g_{4} (\frac{w ^{4} u ^{4}}{v})

Apply log rule:

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

lo g_{4} (\frac{w ^{4} u ^{4}}{v}) = lo g_{4} (w^{4} u^{4}) - lo g_{4} (v)

= 2 (- lo g_{4} (v) + lo g_{4} (w^{4} u^{4}))

ln (\frac{395}{373})

\frac{4 ln ( 2 )}{ln ( 10 )} + 2

ln (107109) - ln (109)

ln (\frac{100}{99119})

20 e^{3 (3)} - ln (3 + 9) + 20 e^{3 (0)} - ln (0 + 9)

What is expand log_{4}(((w^4u^4)/v)^2) ?
The solution to expand log_{4}(((w^4u^4)/v)^2) is 2(log_{4}(w^4u^4)-log_{4}(v))