What is expand log_{10}(2)(7x+8)3 ?

The solution to expand log_{10}(2)(7x+8)3 is 21xlog_{10}(2)+24log_{10}(2)

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expand log_{10}(2)(7x+8)3

expand

lo g_{10} (2) (7 x + 8) 3

21 x lo g_{10} (2) + 24 lo g_{10} (2)

Solution steps

lo g_{10} (2) (7 x + 8) \cdot 3

= 3 lo g_{10} (2) (7 x + 8)

Apply the distributive law:

a (b + c) = ab + a c

3 lo g_{10} (2) (7 x + 8) = 3 lo g_{10} (2) \cdot 7 x + 3 lo g_{10} (2) \cdot 8

= 3 lo g_{10} (2) \cdot 7 x + 3 lo g_{10} (2) \cdot 8

Simplify

3 lo g_{10} (2) \cdot 7 x + 3 lo g_{10} (2) \cdot 8 : 21 x lo g_{10} (2) + 24 lo g_{10} (2)

= 21 x lo g_{10} (2) + 24 lo g_{10} (2)

3 (1 + 2)

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

d i s t r ib u t i v a (15 - 2 x) (9 - 2 x) (x)

\frac{x}{( x + 3 ) ^{2}}

What is expand log_{10}(2)(7x+8)3 ?
The solution to expand log_{10}(2)(7x+8)3 is 21xlog_{10}(2)+24log_{10}(2)