exam Maths Puzzle Numerical Ability

solve the logarithmic equation

log (3-2x)- log (x+24)=0

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exam Other Question

5) Solve the quadratic equation using the quadratic formula: 2x² - 5 = 4


6. Solve using the quadratic formula:
x² - 3x - 3 = -5

thank you so much
help me someone please!!

The length of a rectangle is 1 cm longer than its width. If the diagonal
of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?