Question

Solve for x.

ln(3x+2)=4

Answer 1

The value of x in ln(3x + 2) = 4 is
`\bold{(e^(4) - 2)/(3)}`

Answer:

Option a

Solution:

From question, given that ln(3x + 2) = 4

ln(3x + 2) = 4 ----- eqn 1

By raising “e” to the power of both sides of equation, the above equation becomes

`e^(\ln (3 x + 2)) = e^(4)`

“ln” and “e” cancel out each other in left hand side of above equation. Hence we get

`3x + 2 = e^(4)`

Rearranging the terms, the above equation becomes,

`3 x=e^(4)-1`

x =
`(e^(4) - 2)/(3)`

Thus the value of x in ln(3x + 2) = 4 is
`\bold{(e^(4) - 2)/(3)}`