
How do you graph ?
Answer
482.7k+ views
Hint: The logarithm base b of a number n is the number x that when b is raised to power, the resulting value is n. That is, this can be written as . The logarithm with base is called the natural logarithm representing the function. So, we can write the logarithm base of a number n is the number x which can be expressed in exponents as .
Complete step by step answer:
is called the natural logarithm with base and is also called an inverse of exponential function . is an irrational number which is a constant and its value is 2.718281828459. It can also be written as . is undefined when .
If we observe the given expression, we get to know that the base of this logarithmic function is which is a natural logarithm.
We can directly find the logarithmic graph by taking the image of a graph of an exponential function with respect to any of the lines based on the existence of the graphs.
The below graph says that is the image of through .
In the below graph, first we draw a graph of and then we take the image of which is the graph of . In this way we draw the graph of .
The graph of is shown in the below figure:
Note:
We should be thorough with the logarithm and exponent concept to avoid mistakes like taking base 10 for function instead of . is valid only for values . meets only at . gives only positive values.
Complete step by step answer:
If we observe the given expression, we get to know that the base of this logarithmic function is
We can directly find the logarithmic graph by taking the image of a graph of an exponential function with respect to any of the lines
The below graph says that
In the below graph, first we draw a graph of

The graph of

Note:
We should be thorough with the logarithm and exponent concept to avoid mistakes like taking base 10 for
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE
