Find all solutions n to the equation
$$6^{2n+1}+6^2=6^n+6^{n+3}.$$

9514 1404 393

  n = -1 or 2

Step-by-step explanation:

The equation can be rewritten using x = 6^n. Then we can solve the quadratic.

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A graphing calculator can find the zeros of the exponential function ...

  y = 6^(2n+1) +6^2 -6^n -6^(n+3) . . . . . right side subtracted

the answer to this question is yes

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step-by-step explanation: