What is expand log_{3}(((n^3)/m)^6) ?

The solution to expand log_{3}(((n^3)/m)^6) is 6(3log_{3}(n)-log_{3}(m))

Popular >

expand log_{3}(((n^3)/m)^6)

expand

lo g_{3} ((\frac{n ^{3}}{m})^{6})

6 (3 lo g_{3} (n) - lo g_{3} (m))

Solution steps

lo g_{3} ((\frac{n ^{3}}{m})^{6})

Apply log rule:

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

lo g_{3} ((\frac{n ^{3}}{m})^{6}) = 6 lo g_{3} (\frac{n ^{3}}{m})

= 6 lo g_{3} (\frac{n ^{3}}{m})

Apply log rule:

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

lo g_{3} (\frac{n ^{3}}{m}) = lo g_{3} (n^{3}) - lo g_{3} (m)

= 6 (lo g_{3} (n^{3}) - lo g_{3} (m))

Apply log rule:

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

lo g_{3} (n^{3}) = 3 lo g_{3} (n)

= 6 (3 lo g_{3} (n) - lo g_{3} (m))

12 ln (2 x) - tan (4 x)

- \frac{1}{5} ln (- 1) - \frac{1}{5} ln (3)

(\frac{1}{6}) \cdot ln (\frac{11.92}{8.2})

4.74472 + lo g_{10} (\frac{0.10774}{0.06322})

ln (\frac{6.2}{1.5})

What is expand log_{3}(((n^3)/m)^6) ?
The solution to expand log_{3}(((n^3)/m)^6) is 6(3log_{3}(n)-log_{3}(m))