SOLUTION: Solve for x. 5^(x + 2) + 6^x = 30

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x. 5^(x + 2) + 6^x = 30      Log On


   

Question 1208790: Solve for x.

5^(x + 2) + 6^x = 30
Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
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It is not for algebraic solution - in Algebra, there are no methods solving such equations.


Use either your graphics calculator or online tools to get approximate numerical solutions.


For example, you may use an online solver https://www.desmos.com/calculator


Print there   y = 5^(x + 2) + 6^x  in one window and  y = 30  in the second window


Calculator will provide the plot, and you can identify the root  x = 0.08852 there 
as the intersection point of the two graphs (an approximate value).   ANSWER

Solved.