exam Maths Puzzle Numerical Ability

For the following funtion, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate.

This is a fraction.

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The problem i need help with is 7x+3>9x-5.

This is my work for the problem.

7x+9x>3-5
16x>-2
16x/16>-2/16 = x=<-8 ( the correct answer is x<4 but i do not know where i Write as a single logorithm:
(1/2)ln(x^2+1)-4ln(1/2)-(1/2)[ln(x-4)+ln x]