book Maths Puzzle Numerical Ability

How do I do the following problem?

5^x = 6^(x +8)

Thank you for your help

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Solve using the quadratic equation:
(3x^2-2x) + (-15x+10)=0
(3x^2 - 17x +10)= 0
(3x^2 -2x -15x +10)=0
x(3x-2) + (-5) (3x-2)=0
(x-5)(3x-2)=0
(x-5)=0 or (3x-2)=0
x=5 or 3x=2
x=5 or x=2/3 John owns a hot dog stand. He has found that his profit is represented by the equation P=-x(squared)+70x=76, where P represents profits and x represents the number of hot dogs sold