Answered

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What is the value of the expression below?

[tex]e^{\ln 9}[/tex]

A. 18
B. 1
C. 3
D. 9

Sagot :

GinnyAnswer
To solve the given expression [tex]\( e^{\ln 9} \)[/tex], we can use properties of exponents and logarithms.

First, let's recall a key property that will help us simplify the expression:
- The natural logarithm function, denoted by [tex]\( \ln \)[/tex], is the inverse of the exponential function [tex]\( e^x \)[/tex].

According to this property:
[tex]\[ e^{\ln x} = x \][/tex]

Now, let's apply this property to our specific expression:
[tex]\[ e^{\ln 9} \][/tex]

Given the property [tex]\( e^{\ln x} = x \)[/tex], substituting [tex]\( x \)[/tex] with 9 gives:
[tex]\[ e^{\ln 9} = 9 \][/tex]

Therefore, the value of the expression [tex]\( e^{\ln 9} \)[/tex] is:
[tex]\[ 9 \][/tex]

So, the correct answer is:
D. 9
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