Solve for x
5.62e^3x = 188
Now wait a minute Joy.
We have done a whole lot of these, virtually identical.
It is time for you to do them and perhaps have us check once in a while.
I've removed Joy's umpteen posts that don't have responses.
To solve for x in the equation 5.62e^(3x) = 188, we can follow the steps below:
Step 1: Divide both sides of the equation by 5.62 to isolate the exponential term on the left side:
e^(3x) = 188/5.62
Step 2: Simplify the right side:
e^(3x) ≈ 33.45
Step 3: In order to solve for x, we need to take the natural logarithm (ln) of both sides of the equation:
ln(e^(3x)) = ln(33.45)
Step 4: Use the property of logarithms (ln(a^b) = b * ln(a)) to simplify the left side:
3x * ln(e) = ln(33.45)
Step 5: Recall that ln(e) = 1, which simplifies the equation to:
3x = ln(33.45)
Step 6: Divide both sides of the equation by 3 to solve for x:
x = ln(33.45) / 3
Using a calculator or a math software, you can find the approximate value of x by evaluating the expression on the right-hand side.