Use the properties of logarithms to rewrite and simplify the logarithmic expression.ln2e5
Question
Use the properties of logarithms to rewrite and simplify the logarithmic expression.
Solution
The given expression is ln(2e^5).
Step 1: Apply the properties of logarithms. The logarithm of a product is the sum of the logarithms of its factors. So, we can rewrite the expression as follows:
ln(2e^5) = ln(2) + ln(e^5)
Step 2: Simplify the second term. The natural logarithm of e to the power of a number is just that number. So, ln(e^5) = 5.
So, the simplified expression is:
ln(2) + 5
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