Solve the equation
4e^x -2=14
I got it this far...
4e^x=16
But now what?
e^x = 4
ln (e^x) = x = ln 4
So x=4? or is x=ln4
x = ln 4
1.386
To solve the equation 4e^x - 2 = 14, you correctly isolated the exponential term on one side of the equation:
4e^x = 16
Now, to solve for x, we need to isolate the exponential term completely. Follow these steps to find the value of x:
Step 1: Divide both sides of the equation by 4:
(4e^x)/4 = 16/4
This simplifies to:
e^x = 4
Step 2: Take the natural logarithm (ln) of both sides:
ln(e^x) = ln(4)
According to the inverse property of logarithms, the natural logarithm and the exponential function cancel each other out, leaving just x on the left side:
x = ln(4)
Now you can use a calculator to find the approximate value of x by taking the natural logarithm of 4.