solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use the calculator to obtain a decimal appromiation, correct to two decimal places, for the solution.
In x=8
What is the solution in terms of e?
The solution set is {?}
Lnx = 8.
Exponential form:
x = e^8.
x = 2980.96.
The given equation is in the form of a logarithmic equation:
ln(x) = 8
To solve this equation, we need to use the properties of logarithms. In this case, since the logarithm has a base of e (natural logarithm), we can rewrite the equation as:
x = e^8
So, the solution in terms of e is x = e^8.
To find a decimal approximation for this solution, we can use a calculator. Evaluating e^8 gives us:
x ≈ 2980.96
Therefore, the solution set is x ≈ 2980.96.