ssoto3857 ssoto3857
  • 21-05-2020
  • Mathematics
contestada

Identify the solution set of 3 ln 4 = 2 ln x.

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 21-05-2020

Answer:

x=8

Step-by-step explanation:

3 ln 4 = 2 ln x.

We know that a ln b = ln b^a

ln 4^3 =  ln x^2.

Raise each side to the base e

e^ln 4^3 =  e^ln x^2

4^3 = x^2

64 = x^2

Take the square root of each side

±sqrt(64) = sqrt(x^2)

±8 = x

But x cannot be negative

x=8

Answer Link
hhuhhhyg
hhuhhhyg hhuhhhyg
  • 14-08-2020

Answer:

8

Step-by-step explanation:

Answer Link

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