Answer
Verified
408.9k+ views
Hint:In the given question, we have been asked to solve ln y = 2x + 4. In order to solve the question, first we need to cancel out the log function from the equation. To get rid of a logarithm function from an equation, we need to raise both sides to the same exponent as the base of the logarithms. In the given question to eliminate or cancel out the natural log, we need to raise both sides by the power of ‘e’, then simplify the given equation. In this way we get our required solution.
Complete step by step solution:
We have given that,
\[\Rightarrow \ln y=2x+4\]
To eliminate or cancelling out the natural log, we need to raising both sides by the power of ‘e’,
We get the equation,
\[\Rightarrow {{e}^{\ln \left( y \right)}}={{e}^{2x+4}}\]
\[\Rightarrow y={{e}^{2x+4}}\]
Therefore, the value of \[y={{e}^{2x+4}}\] is the required solution.
Note: In the given question, we need to find the value of ‘x’. To solve these types of questions, we used the basic formulas of logarithm. Students should always require to keep in mind all the formulae for solving the question easily. After applying log formulae to the equation, we need to solve the equation in the way we solve general linear equations. Students should always remember that natural log and the exponential functions are the inverse of each other, which means that if we raise the exponential function by the natural log of x, then only we would be able to find the value of ‘x’.
Complete step by step solution:
We have given that,
\[\Rightarrow \ln y=2x+4\]
To eliminate or cancelling out the natural log, we need to raising both sides by the power of ‘e’,
We get the equation,
\[\Rightarrow {{e}^{\ln \left( y \right)}}={{e}^{2x+4}}\]
\[\Rightarrow y={{e}^{2x+4}}\]
Therefore, the value of \[y={{e}^{2x+4}}\] is the required solution.
Note: In the given question, we need to find the value of ‘x’. To solve these types of questions, we used the basic formulas of logarithm. Students should always require to keep in mind all the formulae for solving the question easily. After applying log formulae to the equation, we need to solve the equation in the way we solve general linear equations. Students should always remember that natural log and the exponential functions are the inverse of each other, which means that if we raise the exponential function by the natural log of x, then only we would be able to find the value of ‘x’.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE