exam Maths Puzzle Numerical Ability

my instructor told me to substitute and then use logarithm
but im not quite sure how

10^2x-2(10^x)=0
to substitute like she said i used 10^x as y
so
y^2-2(y)=0
y^2-2y=

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exam Other Question

A rectangle has sides of 5x-12 and 5x+12. What is the area of the rectangle? In side the rectangle two squares with sides of x and x are to be removed. What is the remaining area of the rectangle? Find the slope and y-intercept.

x=-8

please help me solve this