Problem 74
Question
Evaluate each expression without using a calculator. $$e^{\ln 300}$$
Step-by-Step Solution
Verified Answer
The value of \(e^{ln 300}\) is 300.
1Step 1: Understanding the properties of logs
Before diving into solving the problem, it's crucial to understand that the exponential function and the logarithm are inverse operations to each other. Therefore, for the base \(a\) and the number \(x\), \(a^{log_a(x)} = x\).
2Step 2: Apply this property to the problem
Using the rule from step 1, recognize that the base is \(e\) and the raised element is \(ln 300\). Therefore, \(e^{ln 300}\) simplifies to 300.
Other exercises in this chapter
Problem 73
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