Problem

Change the logarithmic statement to an equivalent statement involving an exponent.
ln7=x
The equivalent exponential statement is (Type an equation.)

Answer

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Answer

Final Answer: The equivalent exponential statement of ln7=x is ex=7

Steps

Step 1 :Change the logarithmic statement to an equivalent statement involving an exponent.

Step 2 :The logarithmic statement is ln7=x.

Step 3 :The logarithm base e of a number is the exponent to which e must be raised to equal that number.

Step 4 :Therefore, the equivalent exponential statement of ln7=x is ex=7.

Step 5 :Calculate the value of x, which is approximately 1.9459101490553132.

Step 6 :Substitute x into the exponential statement, the result is approximately 6.999999999999999, which is very close to 7 due to the precision limit of floating point numbers.

Step 7 :Final Answer: The equivalent exponential statement of ln7=x is ex=7

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