SOLUTION: Solve the following exponential equation. Make use of logarithms. Round answer to 3 decimal places. 200(1.22)t=13,960

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Question 1183126: Solve the following exponential equation. Make use of logarithms.
Round answer to 3 decimal places.
200(1.22)t=13,960
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!





............take log of both sides












Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.


            Do it as simple as it  SHOULD  be done. 


Your starting equation is

     = 13960  



Next, divide both sides by 200

     =   



Next, simplify

     = 69.8   


Next, take logarithm base 10 of both sides 


     = 


     = 1.84386


    t = 


    t=21.351     (approximately;  rounded)      ANSWER

Solved.


It is a standard mantra and a standard algorithm on solving exponential equations of this type.



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