Question

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

Answer 1

$4*e^{2x} -3 = 12$

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..

Answer 2

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