What is expand log_{10}(2m^5n^3) ?

The solution to expand log_{10}(2m^5n^3) is log_{10}(2)+5log_{10}(m)+3log_{10}(n)

Popular >

expand log_{10}(2m^5n^3)

expand

lo g_{10} (2 m^{5} n^{3})

lo g_{10} (2) + 5 lo g_{10} (m) + 3 lo g_{10} (n)

Solution steps

lo g_{10} (2 m^{5} n^{3})

Apply log rule:

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

lo g_{10} (2 m^{5} n^{3}) = lo g_{10} (2) + lo g_{10} (m^{5}) + lo g_{10} (n^{3})

= lo g_{10} (2) + lo g_{10} (m^{5}) + lo g_{10} (n^{3})

Apply log rule:

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

lo g_{10} (m^{5}) = 5 lo g_{10} (m)

= lo g_{10} (2) + 5 lo g_{10} (m) + lo g_{10} (n^{3})

Apply log rule:

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

lo g_{10} (n^{3}) = 3 lo g_{10} (n)

= lo g_{10} (2) + 5 lo g_{10} (m) + 3 lo g_{10} (n)

5 \cdot ln (300) + 3 \cdot ln (4.002) - ln (1 0^{5}) - 1.1516

\frac{43}{9} + ln (425) - ln (117)

ln (\frac{1 + 2 z}{1 - 2 z})

\frac{1}{3} ln (6 x^{2}) + ln (3 x)

5 ln (\frac{H - 5}{H + 3})

What is expand log_{10}(2m^5n^3) ?
The solution to expand log_{10}(2m^5n^3) is log_{10}(2)+5log_{10}(m)+3log_{10}(n)