exam Maths Puzzle Numerical Ability

Can someone show me how to write the mapping rule that shows the transformation of y=2^x for the equation 1/4(y-5)=2^(x-3)?

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exam Other Question

Find LCM of m^2-4m-5 and m^2+8m+7.

Thanks
Solve each absolute value inequality and graph the solution set.

The absolute value[x-7] greater than equal to -4