book Maths Puzzle Numerical Ability

I am not sure how to express this question:

ln(Ae^Bx)

I am thinking of simplifying it to

(lnA)-Blnx ?

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book Other Question

simplify the following algebraic expression

(4y)^7
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(4y)^3
True or False The domain for the the following function -4x+6 is (-00;+00) and the range is (-00;6)