exam Maths Puzzle Numerical Ability

Please help me solve this simultaneous equation:

log x base 3 = y = log (2x-1) base 9

and another one:

log (x+y) = 0

2 log x = log (y+1)

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exam Other Question

Can any help me with this problem? I am supposed to use synthetic division to find the quotient and the remainder.

(x^5+32) divided by (x+2)

Thank you!
Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.

y=1/20 x^2