Question

Evaluate and must show work

But i don’t think there is anything left to be done is there?
Please help

Answer 1

ln(x)/2 -3.810930

Explanation:

The relevant rules of logarithms are ...

ln(ab) = ln(a) +ln(b)

ln(a^b) = b·ln(a)

ln(a/b) = ln(a) -ln(b)

ln(e) = 1

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Your expression expands to ...

`\ln\left((4√(x))/(9e^3)\right) = \ln(4√(x))-\ln(9e^3)=\ln(4)+(1)/(2)\ln(x)-(\ln(9)+3\ln(e))\\\\=(1)/(2)\ln(x)+\ln(4)-\ln(9)-3\\\\\approx(\ln(x))/(2)-3.810930`