[tex] 4*e^{2x} -3 = 12 [/tex]
Step 1:
Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.
[tex] 4*e^{2x} = 12+3 [/tex]
[tex] 4*e^{2x} = 15 [/tex]
Step 2:
Next we have 4 in multiplication on left side, so dividing right side by 4,
[tex] e^{2x} = 15/4 [/tex]
[tex] e^{2x} = 3.75 [/tex]
Step 3:
taking log on both sides
[tex] ln ( e^{2x}) = ln(3.75) [/tex]
[tex] {2x} =ln 3.75 [/tex]
Step 4:
Dividing right side by 2,
x= ln (3.75) /2 = 0.66088
Answer : x = 0.66088..
