Answer :
Final answer:
To solve the exponential equation eˣ =10.1, apply the natural logarithm to both sides. This gives x = ln(10.1), which means if you raise 'e' to the power of the natural logarithm of 10.1, you get 10.1.
Explanation:
The question is asking us to solve the exponential equation eˣ =10.1. Here, 'e' is the base of the natural logarithm and is approximately equal to 2.7182818. To solve the equation, we simply need to find the value of 'x' such that e raised to 'x' equals 10.1.
Because 'e' is the base, we can use the property of natural logarithms to solve for 'x'. The natural logarithm of a number is the power to which 'e' must be raised to equal that number. Therefore, by applying the natural logarithm to both sides of the equation, we get x = ln(10.1).
Since 'ln' is the symbol for the natural logarithm, x = ln(10.1) means that if you raise 'e' to the power of the natural logarithm of 10.1, you get 10.1. In other words, x is the solution to the exponential equation eˣ =10.1.
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