What is log_{10}(a)(a^3+2a^2+a(a+1)2) ?

The solution to log_{10}(a)(a^3+2a^2+a(a+1)2) is log_{10}(a)(a^3+4a^2+2a)

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simplify log_{10}(a)(a^3+2a^2+a(a+1)2)

simplify

lo g_{10} (a) (a^{3} + 2 a^{2} + a (a + 1) 2)

lo g_{10} (a) (a^{3} + 4 a^{2} + 2 a)

Solution steps

lo g_{10} (a) (a^{3} + 2 a^{2} + a (a + 1) \cdot 2)

= lo g_{10} (a) (a^{3} + 2 a^{2} + 2 a (a + 1))

Expand

2 a (a + 1) : 2 a^{2} + 2 a

= lo g_{10} (a) (a^{3} + 2 a^{2} + 2 a^{2} + 2 a)

Add similar elements:

2 a^{2} + 2 a^{2} = 4 a^{2}

= lo g_{10} (a) (a^{3} + 4 a^{2} + 2 a)

(x - a)^{2} (x - b) (x - c)

(- 5 p - 3 q)^{3}

\frac{9 ^{x} - ( a ^{3} ) ^{x} - a + 5}{4}

x + y - 1.5 y - 2.5 x

\frac{( 5 ^{n} \cdot 5 ^{3} + 5 ^{n} )}{( 5 ^{n} \cdot 5 ^{- 1} \cdot 5 ^{1} )}

What is log_{10}(a)(a^3+2a^2+a(a+1)2) ?
The solution to log_{10}(a)(a^3+2a^2+a(a+1)2) is log_{10}(a)(a^3+4a^2+2a)