What is expand log_{2}((6x)^5) ?

The solution to expand log_{2}((6x)^5) is 5log_{2}(6)+5log_{2}(x)

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expand log_{2}((6x)^5)

expand

lo g_{2} ((6 x)^{5})

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

Solution steps

lo g_{2} ((6 x)^{5})

Apply log rule:

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

lo g_{2} ((6 x)^{5}) = 5 lo g_{2} (6 x)

= 5 lo g_{2} (6 x)

Apply log rule:

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

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

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

5 lo g_{10} (a) + 25 lo g_{10} (b)

4 ln (x) - \frac{1}{5} ln (y)

lo g_{10} (\frac{3 x}{7})

lo g_{5} (\frac{25}{x + 7})

lo g_{a} (\frac{a B}{C ^{4}})

What is expand log_{2}((6x)^5) ?
The solution to expand log_{2}((6x)^5) is 5log_{2}(6)+5log_{2}(x)