What is expand log_{10}(csqrt(a*b)) ?

The solution to expand log_{10}(csqrt(a*b)) is log_{10}(c)+log_{10}(sqrt(ab))

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expand log_{10}(csqrt(a*b))

expand

lo g_{10} (c a \cdot b)

lo g_{10} (c) + lo g_{10} (ab)

Solution steps

lo g_{10} (c ab)

Apply log rule:

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

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

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

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

ln (x y) + \frac{y + x \frac{d y}{d x}}{y}

lo g_{10} (5 e^{9})

4 lo g_{3} (x) - \frac{1}{2} lo g_{3} (y) + 2 lo g_{3} (z)

1 - ln (2 e)

What is expand log_{10}(csqrt(a*b)) ?
The solution to expand log_{10}(csqrt(a*b)) is log_{10}(c)+log_{10}(sqrt(ab))