What is expand log_{3}((x^4)/(y^2)) ?

The solution to expand log_{3}((x^4)/(y^2)) is 4log_{3}(x)-2log_{3}(y)

Popular >

expand log_{3}((x^4)/(y^2))

expand

lo g_{3} (\frac{x ^{4}}{y ^{2}})

4 lo g_{3} (x) - 2 lo g_{3} (y)

Solution steps

lo g_{3} (\frac{x ^{4}}{y ^{2}})

Apply log rule:

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

lo g_{3} (\frac{x ^{4}}{y ^{2}}) = lo g_{3} (x^{4}) - lo g_{3} (y^{2})

= lo g_{3} (x^{4}) - lo g_{3} (y^{2})

Apply log rule:

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

lo g_{3} (x^{4}) = 4 lo g_{3} (x)

= 4 lo g_{3} (x) - lo g_{3} (y^{2})

Apply log rule:

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

lo g_{3} (y^{2}) = 2 lo g_{3} (y)

= 4 lo g_{3} (x) - 2 lo g_{3} (y)

ln (2 n^{2} + 4 n - 3) - ln (n^{2} + 4 n + 5)

- ln (\frac{2}{3}) + 2

lo g_{2} (\frac{1}{2 \cdot 0.001})

ln (A x^{b} y^{c})

\frac{97}{100} ln (3 \cdot 1 0^{6}) + \frac{3}{100} ln (3000)

What is expand log_{3}((x^4)/(y^2)) ?
The solution to expand log_{3}((x^4)/(y^2)) is 4log_{3}(x)-2log_{3}(y)