schoolkid1253 schoolkid1253
  • 01-05-2018
  • Mathematics
contestada

List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

Respuesta :

bfriend39p365u4 bfriend39p365u4
  • 07-05-2018
X = -4 and X = 4
then the answer to the solution is 4


Answer Link
pinquancaro pinquancaro
  • 04-09-2018

We have to find the potential solutions to [tex] 2 ln x = 4 ln 2 [/tex] from least to greatest.

Using the properties of ln function.

[tex] a \times ln b = ln b^{a}[/tex]

Therefore, we get

[tex] ln x^{2} = ln 2^{4} [/tex]

[tex] ln x^{2} = ln 16 [/tex]

taking antilog on both the sides, we get

[tex] x^{2} = 16 [/tex]

So, [tex] x = \pm 4 [/tex]

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

Answer Link

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