SOLUTION: If 3 exponential x = 500 then 3 exponential (x-2) = ? Guessing you mean If {{{3^x=500}}} then what is {{{3^(x-2)}}}?

Algebra ->  Exponents -> SOLUTION: If 3 exponential x = 500 then 3 exponential (x-2) = ? Guessing you mean If {{{3^x=500}}} then what is {{{3^(x-2)}}}?      Log On


   

Question 706403: If 3 exponential x = 500 then 3 exponential (x-2) = ?
Guessing you mean If 3%5Ex=500 then what is 3%5E%28x-2%29?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Use the IF condition as something to substitute later, as given.

3%5E%28x-2%29=3%5Ex%2A3%5E%28-2%29 [property of exponents]
=%283%5Ex%29%2F%283%5E2%29

Substitute your given condition:
=500%2F%283%5E2%29=500%2F9