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-------------------------------------------------------------------------- Comment from student: The 2nd one you mentioned is what i'm looking for with x-4 being a whole exponent and the x+5 being an exponent.
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OK.
So, our equation is
= .
Note that 625 = .
Therefore, you can write the original equation in the form
= .
It gives you the equation for exponents
2(x-4) = x + 5.
It is easy to solve. Simplify it step by step:
2x - 8 = x + 5,
x = 13.
Indeed, 2(x-4) = 2(13-4) = 2*9 = 18, and x + 5 = 13 + 5 = 18.