Question

Solve the equation –4 In(6x) = 2.
O A. 0.101
B. 0.275
C 3.639
D. 67.238

Answer 1

A) 0.101

Explanation:

• 
  `ln(6x) = -1/2`
• 
  `6x = e^(^-^1^/^2^)`
• 
  `6x = 1/√(e)`
• 
  `x = 1/(6* √(e))`

Using the calculator
`x = 0.101`

Answer 2

Isolate the variable using algebraic manipulation.

`-4 ln(6x)=2`

`ln(6x)=-(1)/(2)`

`6x=e^{-(1)/(2)}`

`x=(e^-(1)/(2))/(6)`

`x=0.101`

Hope this helps.

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