rawnutmeg
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  • 31-03-2021
  • Mathematics
contestada

Solve for x. 5000(2)^x = 3500(3)^x​

Solve for x 50002x 35003x class=

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pokechrome pokechrome
  • 31-03-2021

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

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