SOLUTION: Use the one-to-one property to solve the equation for x. e^(5x+1)=e^16 That equation is supposed to read this- e to the power of 5 x plus 1 end exponent equals e to the p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the one-to-one property to solve the equation for x. e^(5x+1)=e^16 That equation is supposed to read this- e to the power of 5 x plus 1 end exponent equals e to the p      Log On


   



Question 1030021: Use the one-to-one property to solve the equation for x.
e^(5x+1)=e^16
That equation is supposed to read this-
e to the power of 5 x plus 1 end exponent equals e to the power of 16
Just in case I did not write the equation correctly

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+e%5E%28+5x+%2B+1+%29+=+e%5E16+
The exponents must be equal
This is the same situation as if you had:
+e%5Ea+=+e%5Eb+
+a+=+b+
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So, I can say:
+5x+%2B+1+=+16+
+5x+=+15+
+x+=+3+
-----------------
check answer:
+e%5E%28+5%2A3+%2B+1+%29+=+e%5E16+
+e%5E%28+15+%2B+1+%29+=+e%5E16+
+e%5E16+=+e%5E16+
OK