Question

Solve 4e^2x-3=12 please help

Answer 1

4e^2x-3=12 =>e^2x=15/4 =>ln(15/4)=2x => x=(1/2)ln(15/4)=ln(15/4)^(1/2)=ln(15^(1/2)/2) => x = ln 15^(1/2) - ln 2

Answer 2

`4*e^(2x) -3 = 12`

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.

`4*e^(2x) = 12+3`

`4*e^(2x) = 15`

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

`e^(2x) = 15/4`

`e^(2x) = 3.75`

Step 3:

taking log on both sides

`ln ( e^(2x)) = ln(3.75)`

`{2x} =ln 3.75`

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..