What is 5log_{2}(x)+2log_{2}(y) ?

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

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simplify 5log_{2}(x)+2log_{2}(y)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{2} (x^{5}) + 2 lo g_{2} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{2} (x^{5}) + lo g_{2} (y^{2})

Apply log rule:

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

lo g_{2} (x^{5}) + lo g_{2} (y^{2}) = lo g_{2} (x^{5} y^{2})

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

ln ((4.1 \cdot x) 4.1)

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

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})

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