What is ln(s^4sqrt(t\sqrt{u)}) ?

The solution to ln(s^4sqrt(t\sqrt{u)}) is 4ln(s)+ln(sqrt(t\sqrt{u)})

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simplify ln(s^4sqrt(t\sqrt{u)})

simplify

ln (s^{4} t u)

4 ln (s) + ln (t u)

Solution steps

ln (s^{4} t u)

Apply log rule:

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

ln (s^{4} t u) = ln (s^{4}) + ln (t u)

= ln (s^{4}) + ln (t u)

Apply log rule:

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

ln (s^{4}) = 4 ln (s)

= 4 ln (s) + ln (t u)

2 ln (x - 1) - ln (x + 2) - ln (x - 2)

2 lo g_{2} (x) - lo g_{2} (x - 3)

ln (5 e^{2 x})

ln (\frac{100}{50})

3 lo g_{2} (x) + 3 lo g_{2} (x + 2)

What is ln(s^4sqrt(t\sqrt{u)}) ?
The solution to ln(s^4sqrt(t\sqrt{u)}) is 4ln(s)+ln(sqrt(t\sqrt{u)})