exam Maths Puzzle Numerical Ability

Solve for x:
logbase9 x + -1/2 I thought the answer was x=3 but I was told that I was wrong:(

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exam Other Question

Find the value of r so that the line through (-4,3) and (r, -3) has a slope of 2/3. x^2-1/10 divide x+1/x-1

Can I cancel a x and 1?

x/10 divide 1/x?