What is 5(log_{10}(x)y+log_{10}(z)) ?

The solution to 5(log_{10}(x)y+log_{10}(z)) is 5ylog_{10}(x)+5log_{10}(z)

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simplify 5(log_{10}(x)y+log_{10}(z))

simplify

5 (lo g_{10} (x) y + lo g_{10} (z))

5 y lo g_{10} (x) + 5 lo g_{10} (z)

Solution steps

5 (lo g_{10} (x) y + lo g_{10} (z))

Apply the distributive law:

a (b + c) = ab + a c

5 (lo g_{10} (x) y + lo g_{10} (z)) = 5 lo g_{10} (x) y + 5 lo g_{10} (z)

= 5 lo g_{10} (x) y + 5 lo g_{10} (z)

= 5 y lo g_{10} (x) + 5 lo g_{10} (z)

(\frac{4}{5} x - \frac{2}{7} y) (\frac{4}{5} x + \frac{2}{7} y)

\frac{1}{s ^{2} ( s ^{2} + 1 )}

\frac{s}{( s + 2 ) ( s ^{2} + 4 )}

(x + \frac{1}{2}) (x - 3)

(x - 2)^{2}

What is 5(log_{10}(x)y+log_{10}(z)) ?
The solution to 5(log_{10}(x)y+log_{10}(z)) is 5ylog_{10}(x)+5log_{10}(z)