What is expand ln((x+3)/(4y)) ?

The solution to expand ln((x+3)/(4y)) is ln(x+3)-2ln(2)-ln(y)

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expand ln((x+3)/(4y))

expand

ln (\frac{x + 3}{4 y})

ln (x + 3) - 2 ln (2) - ln (y)

Solution steps

ln (\frac{x + 3}{4 y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x + 3}{4 y}) = ln (x + 3) - ln (4 y)

= ln (x + 3) - ln (4 y)

Apply log rule:

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

ln (4 y) = ln (4) + ln (y)

= ln (x + 3) - (ln (y) + ln (4))

ln (4) = 2 ln (2)

= ln (x + 3) - (ln (y) + 2 ln (2))

- (2 ln (2) + ln (y)) : - 2 ln (2) - ln (y)

= ln (x + 3) - 2 ln (2) - ln (y)

- lo g_{10} (1.12 \cdot 1 0^{- 4})

lo g_{5} (x^{4} y^{3})

ln (\frac{x}{x - 2})

\frac{1}{2} lo g_{49} (3)

2 lo g_{e} (\frac{2}{3})

What is expand ln((x+3)/(4y)) ?
The solution to expand ln((x+3)/(4y)) is ln(x+3)-2ln(2)-ln(y)