Question

Describe how to find the anti logarithm of ln x= 2 to the nearest ten-thousandths

Answer 1

To find the anti logarithm of ln x= 2 to the nearest ten-thousandths, raise e (approximately 2.7182818) to the power of 2.

Step-by-step explanation:

To find the anti logarithm of ln x= 2 to the nearest ten-thousandths, we need to remember the relationship between logarithms and exponents. The anti logarithm, also known as the inverse of the logarithm, is found by raising the base of the logarithm to the power of the given value. In this case, since the natural logarithm (ln) has a base of e (approximately 2.7182818), we need to raise e to the power of 2.

Therefore, the anti logarithm of ln x= 2 is e^2. Using a calculator, we can approximate the value of e^2 to the nearest ten-thousandths as 7.3891.

Answer 2

Given

The expression is given as

lnx=2.

Explanation

To find the antilogarithm of the expression,

To compute the antilogarithm of a natural logarithm, take e to that power.

`lnx=2`
`x=e^2`
`x=7.389`

Answer

Hence the antilogarithm of lnx =2 to the nearest ten-thousandths is 7.3891.