Respuesta :

After solving the equation 1.1+ln x²=6, the value of x is equal to  [tex]\sqrt{e^{4.9}}[/tex]

How to solve an equation?

To solve linear equations, utilize the steps that are provided below.

  1. Remove parentheses from each side of the equation and combine similar terms to make it simpler.
  2. To separate the variable term on one side of the equation, use addition or subtraction.
  3. To find the variable, use division or multiplication.
  4. The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find x in 1.1+ln x²=6

⇒ 1.1+ln x²=6

⇒ ln x² = 6 - 1.1

⇒ ln x² = 4.9

⇒ x² = [tex]e^{4.9}[/tex]

⇒ x  =  [tex]\sqrt{e^{4.9}}[/tex]

Thus,  x =  [tex]\sqrt{e^{4.9}}[/tex] in 1.1+ln x²=6

Learn more about  linear equations

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