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Question

Solve for $x.$ $$\ln x=-1$$

Name: Problem 13, Chapter 3: Precalculus
Uploaded: 2021-02-09T16:10:04-08:00
Duration: 46 s
Channel: Faizanullah Kazmi
Description: Solve for x. lnx=-1

   Solve for $x.$
$$\ln x=-1$$

Precalculus

Ron Larson 10th Edition

Chapter 3, Problem 13

Instant Answer

Solved by Expert Faizanullah Kazmi

02/09/2021

Step 1

Step 1: We are given the equation $\ln x=-1$. Show more…

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Solve for $x.$ $$\ln x=-1$$

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Key Concepts

Natural Logarithm

The natural logarithm is a logarithm with base e, where e is an irrational constant approximately equal to 2.71828. It is commonly denoted as ln(x) and is used in various mathematical contexts including calculus, differential equations, and exponential growth/decay models.

Exponential Function

The exponential function is the inverse of the natural logarithm. When using exponential functions, particularly with base e, any logarithmic equation of the form ln(x) = y can be solved by rewriting it in the equivalent exponential form x = e^y. This inverse relationship is fundamental to simplifying and solving equations that involve logarithms.

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