## What is limits of logarithmic functions?

## What is limits of logarithmic functions?

Its domain is (−∞,∞) and its range is (0,∞). The logarithmic function y=logb(x) is the inverse of y=bx. Its domain is (0,∞) and its range is (−∞,∞). The natural exponential function is y=ex and the natural logarithmic function is y=lnx=logex.

## Do ln functions have limits?

We can use the rules of logarithms given above to derive the following information about limits. ln x = −∞. any integer m. ln x = ∞.

**What is the limit of ln 0?**

undefined

So the natural logarithm of zero is undefined.

**Why does it matter to study the limits of logarithmic functions?**

Logarithmic functions are important largely because of their relationship to exponential functions. Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.

### What is the limit at 0+ of LNX?

Because there are no values to the left of 0 in the domain of ln(x) , the limit does not exist.

### Can ln be negative?

Natural Logarithm of Negative Number The natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of a negative number is undefined.

**What is the main connection between logarithmic functions and real world problems?**

Using Logarithmic Functions Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity). Let’s look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes.

**What are natural logs used for?**

The natural log is the logarithm to the base of the number e and is the inverse function of an exponential function. Natural logarithms are special types of logarithms and are used in solving time and growth problems. Logarithmic functions and exponential functions are the foundations of logarithms and natural logs.