What is expand log_{10}(sqrt(3x)) ?

The solution to expand log_{10}(sqrt(3x)) is 1/2 log_{10}(3x)

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expand log_{10}(sqrt(3x))

expand

lo g_{10} (3 x)

\frac{1}{2} lo g_{10} (3 x)

Solution steps

lo g_{10} (3 x)

Rewrite as

= lo g_{10} ((3 x)^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} lo g_{10} (3 x)

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

\frac{s ^{2} + 6 s + 9}{( s + 4 ) ( s - 2 ) ( s - 1 )}

\frac{( ( A \cdot x ) - 1 ) ^{2}}{( ( B \cdot x ) - 1 ) ^{2} \cdot ( ( C \cdot x ) - 1 ) ^{2}}

\frac{tan ( t )}{( t - 3 ) ( t - 5 )}

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

What is expand log_{10}(sqrt(3x)) ?
The solution to expand log_{10}(sqrt(3x)) is 1/2 log_{10}(3x)