What is expand log_{10}(sqrt(a^3b)) ?

The solution to expand log_{10}(sqrt(a^3b)) is log_{10}(a)+1/2 log_{10}(ab)

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expand log_{10}(sqrt(a^3b))

expand

lo g_{10} (a^{3} b)

lo g_{10} (a) + \frac{1}{2} lo g_{10} (ab)

Solution steps

lo g_{10} (a^{3} b)

a^{3} b = a ab

= lo g_{10} (a ab)

Apply log rule:

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

lo g_{10} (a ab) = lo g_{10} (a) + lo g_{10} (ab)

= lo g_{10} (a) + lo g_{10} (ab)

Simplify

lo g_{10} (ab) : \frac{1}{2} lo g_{10} (ab)

= lo g_{10} (a) + \frac{1}{2} lo g_{10} (ab)

(x + Δ x - 2) (x - 2) \cdot (x - 2 + x + Δ x - 2)

(- 1, - 1 + π) (x - 0, y + \frac{π}{2})

(u + i v)^{3}

\frac{1}{1 - 4 x}

x e^{x^{2}} d x + (y^{5} - 1) d y

What is expand log_{10}(sqrt(a^3b)) ?
The solution to expand log_{10}(sqrt(a^3b)) is log_{10}(a)+1/2 log_{10}(ab)