What is expand log_{6}((5x^3)/y) ?

The solution to expand log_{6}((5x^3)/y) is log_{6}(5)+3log_{6}(x)-log_{6}(y)

Popular >

expand log_{6}((5x^3)/y)

expand

lo g_{6} (\frac{5 x ^{3}}{y})

lo g_{6} (5) + 3 lo g_{6} (x) - lo g_{6} (y)

Solution steps

lo g_{6} (\frac{5 x ^{3}}{y})

Apply log rule:

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

lo g_{6} (\frac{5 x ^{3}}{y}) = lo g_{6} (5 x^{3}) - lo g_{6} (y)

= lo g_{6} (5 x^{3}) - lo g_{6} (y)

Apply log rule:

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

lo g_{6} (5 x^{3}) = lo g_{6} (5) + lo g_{6} (x^{3})

= lo g_{6} (5) + lo g_{6} (x^{3}) - lo g_{6} (y)

Apply log rule:

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

lo g_{6} (x^{3}) = 3 lo g_{6} (x)

= lo g_{6} (5) + 3 lo g_{6} (x) - lo g_{6} (y)

ln (\frac{73}{165})

lo g_{\frac{1}{4}} (\frac{1}{x}) + 1

lo g_{10} (\frac{x}{7})

ln (x^{\frac{5}{3}}) + ln (y^{4})

What is expand log_{6}((5x^3)/y) ?
The solution to expand log_{6}((5x^3)/y) is log_{6}(5)+3log_{6}(x)-log_{6}(y)