Problemas
core: 3.5/10 Answered: 4/10 Question 5 Find the solution of the exponential equation e^3x+4=6 The exact solution is: a = x=square The approximate solution correct to four decimal places is x= x=square
Roztwór
Luisa
veterano · Tutor durante 9 años
4.2
(300 Votos)
Respuesta
To solve the exponential equation
, we can take the natural logarithm of both sides to get rid of the exponential term.Taking the natural logarithm of both sides, we have:
Using the property of logarithms that
, we can simplify the left side:
Now, we can solve for
by isolating it on one side of the equation:
This is the exact solution for
.To find the approximate solution correct to four decimal places, we can evaluate the expression using a calculator:
Therefore, the exact solution is
and the approximate solution correct to four decimal places is
.