Question

Solve for x. ln(3x+2)=4

Answer 1

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

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 = $\frac{e^{4} - 2}{3}$

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