Answer

Verified

383.4k+ 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’.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

Difference Between Plant Cell and Animal Cell

Change the following sentences into negative and interrogative class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers