What is expand log_{10}(x^2)(x+4) ?

The solution to expand log_{10}(x^2)(x+4) is 2xlog_{10}(x)+8log_{10}(x)

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expand log_{10}(x^2)(x+4)

expand

lo g_{10} (x^{2}) (x + 4)

2 x lo g_{10} (x) + 8 lo g_{10} (x)

Solution steps

lo g_{10} (x^{2}) (x + 4)

Apply the distributive law:

a (b + c) = ab + a c

lo g_{10} (x^{2}) (x + 4) = lo g_{10} (x^{2}) x + lo g_{10} (x^{2}) \cdot 4

= lo g_{10} (x^{2}) x + lo g_{10} (x^{2}) \cdot 4

Simplify

lo g_{10} (x^{2}) x + lo g_{10} (x^{2}) \cdot 4 : 2 x lo g_{10} (x) + 8 lo g_{10} (x)

= 2 x lo g_{10} (x) + 8 lo g_{10} (x)

lo g_{10} (\frac{x ( x + 3 )}{( x + 5 ) ^{9}})

e^{\frac{l n ( 3 ) - l n ( 8 ) + l n ( 25 ) - l n ( 6 )}{2}}

lo g_{10} (\frac{5 x + 7}{2})

lo g_{2} (8 d)

lo g_{h} (9 jk)

What is expand log_{10}(x^2)(x+4) ?
The solution to expand log_{10}(x^2)(x+4) is 2xlog_{10}(x)+8log_{10}(x)