exam Maths Puzzle Numerical Ability

Expand and simplify: ln(xe)
Thats the problem that has been driving me crazy. I dont uderstand how logarithms work so any help with this is very much appreciated. Thanks so much!

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exam Other Question

Solve the equation |X + 11| = |2X + 5|

Here is what I have tried so far but it is not matching to any answer I have.

x + 11 = - 2x + 5 and -x +11 = 2x + 5

with this my answer are x=-2 and x=-6 but they are not correct
im having trouble figuring this one out.

[51(t+h)-0.83{(t+h)^2}-(51t-0.83t^2)]/h