What is expand log_{10}(sqrt(4x)) ?

The solution to expand log_{10}(sqrt(4x)) is log_{10}(2)+1/2 log_{10}(x)

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expand log_{10}(sqrt(4x))

expand

lo g_{10} (4 x)

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

Solution steps

lo g_{10} (4 x)

4 x = 2 x

= lo g_{10} (2 x)

Apply log rule:

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

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

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

Simplify

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

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

(1, 2, 3 + 4, - 3, - 1) x (- 5, - 3, 5 - (- 2), 1, 6)

\frac{n ^{2} ( n + 1 ) ^{2}}{3}

\frac{( 2 x + 3 ) ^{2} - x ^{4}}{2}

(0 - 2 - 2) x (231) x (- 2, 1, 2)

e^{(x^{2} - 3) (x + 4)}

What is expand log_{10}(sqrt(4x)) ?
The solution to expand log_{10}(sqrt(4x)) is log_{10}(2)+1/2 log_{10}(x)