SOLUTION: solve for x: t^26/t^x=t^x

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Question 202099: solve for x: t^26/t^x=t^x
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%28t%5E26%29%2F%28t%5Ex%29=t%5Ex Start with the given equation.


t%5E26=t%5Ex%2At%5Ex Multiply both sides by t%5Ex.


t%5E26=t%5E%28x%2Bx%29 Multiply the common bases by adding the exponents.


t%5E26=t%5E%282x%29 Combine like terms.


26=2x Since the bases are equal, the exponents are equal.


26%2F2=x Divide both sides by 2.


13=x Divide


x=13 Rearrange the equation.


So the solution is x=13