Question Solve for x: . A. x =
Studdy Solution
STEP 1
Assumptions
1. We are given the equation .
2. We need to solve for .
3. The solution will be in the form of a logarithm since the equation involves an exponent.
STEP 2
To solve for in the equation , we will take the logarithm of both sides of the equation. We can use any logarithmic base, but to simplify calculations, we will use the natural logarithm (base ).
STEP 3
Using the property of logarithms that allows us to bring the exponent down as a coefficient, we can rewrite the left side of the equation.
STEP 4
Now, to isolate , we divide both sides of the equation by .
STEP 5
We can now use a calculator to find the numerical value of . Make sure to use the natural logarithm function (usually denoted as "ln" on calculators).
STEP 6
After calculating the values of and , we divide them to find the value of .
STEP 7
Perform the division to find the approximate value of .
STEP 8
Round the answer to four decimal places as needed.
Therefore, the solution is .
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