Evaluate the following logarithmic expression
e^2q=48
Evaluate e
Since we have e = 2.718281828459, a becomes 2.718281828459
Take the natural log of both sides
Ln(e2q) = Ln(48)
Use a logarithmic identity
Ln(an) = n * Ln(a)
Using that identity, we have
n = 2q and a = e, so our equation becomes:
2qLn(e) = 3.8712010109079
Given that e = 2.718281828459, we have:
2q * Ln(2.718281828459)
Evaluate outside constant
(2 * 1)q = 3.8712010109079
2q = 3.8712010109079
Divide each side of the equation by 2
| 2q | |
| 2 |
| = |
| 3.8712010109079 |
| 2 |
Final Answer
q = 1.9356005054539
