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$35-44$ Logarithmic Equations Use the definition of the logarithmic function to find $x .$$${ (a) }\ln x=-1 \quad \text { (b) } \ln (1 / e)=x$$

a.$x=\frac{1}{e}$b. $x=-1$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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$35-44$ Logarithmic Equati…

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before we onto this question. Let's just recap on the definition off the logarithmic function. So if I have locked to the base off a be equal to see to rewrite this into exponential for I have the base off a to the power off, see equal to be right. So remember the base off the log becomes the base off the exponential form and then the sea becomes the exponents and the B is on the other side of the equal sign. Another thing is that you will remember that Lin off are you? Is the lock with base e off? I great. So in the first question, we have learned off X equal to negative one. So we from the Lynn the natural log. We know that the base is e The exponents will be the naked off one and that is going to be equal to X So we can rewrite this as X is equal to one over eve. In the next one, it's Len off one over e equal to X. Now again, the base is the e to the about off eggs equal to one over eat broad on the one of the e I can change into E to the far off, negative one. So because the basis are the same, X is equal to negative one.

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