What is expand ln(e^6sqrt(4-x)) ?

The solution to expand ln(e^6sqrt(4-x)) is 6+ln(sqrt(4-x))

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expand ln(e^6sqrt(4-x))

expand

ln (e^{6} 4 - x)

6 + ln (4 - x)

Solution steps

ln (e^{6} 4 - x)

Apply log rule:

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

ln (e^{6} 4 - x) = ln (e^{6}) + ln (4 - x)

= ln (e^{6}) + ln (- x + 4)

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= 6 ln (e) + ln (4 - x)

6 ln (e) = 6

= 6 + ln (- x + 4)

- lo g_{10} (1.5 \cdot 1 0^{- 8})

\frac{1}{2} ln (x) - \frac{1}{2} ln (x + 2)

ln (\frac{30}{7})

\frac{1}{0.000003} ln (\frac{25 - 15}{75 - 15})

ln ((t^{2} + 1)^{\frac{1}{2}}) + ln (k)

What is expand ln(e^6sqrt(4-x)) ?
The solution to expand ln(e^6sqrt(4-x)) is 6+ln(sqrt(4-x))