Answer

Verified

372k+ views

**Hint:**For answering this question we need to solve the given expression ${{4}^{x+1}}=8$ for getting the value of $x$ . For that we need to use basic arithmetic simplifications like multiplications and transformations like shifting from right hand side to left hand side and reduce it.

**Complete step-by-step solution:**

Now considering from the question we have been asked to solve the given expression ${{4}^{x+1}}=8$.

For doing that we need to use basic arithmetic simplifications like addition, subtraction, multiplication, division and transformations like shifting from right hand side to left hand side and vice-versa then we need to reduce it.

This type of questions is very simple and can be easily answered without performing much calculation and basically we should be sure with this type of questions and try to score maximum out of them.

Here if we observe the given expression is already arranged.

Now we will express $8$ as

$\begin{align}

& \Rightarrow 4\times 2=4\times \sqrt{4}\Rightarrow 4\times {{4}^{\dfrac{1}{2}}} \\

& \Rightarrow {{4}^{1+\dfrac{1}{2}}} \\

\end{align}$

By comparing them we will have $x=\dfrac{1}{2}$ .

**Therefore we can conclude that in the given expression ${{4}^{x+1}}$ the value of $x$ is $\dfrac{1}{2}$.**

**Note:**We should be sure with the simple arithmetic calculations we make to simplify the equations in questions of this type. This type of questions are very easy and do not require much calculations so the possibility of mistakes in questions of this type are very less. Similarly we can simplify any other expressions like for the expression ${{2}^{x}}=16$ it will be given as $\Rightarrow {{2}^{x}}={{2}^{4}}\Rightarrow x=4$ .

Recently Updated Pages

What are the Advantages and Disadvantages of Algorithm

How do you write 0125 in scientific notation class 0 maths CBSE

The marks obtained by 50 students of class 10 out of class 11 maths CBSE

You are awaiting your class 10th results Meanwhile class 7 english CBSE

Which one of the following was not the cause of the class 10 social science CBSE

Which one of the following cities is not located on class 10 social science CBSE

Trending doubts

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

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

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

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

Write the 6 fundamental rights of India and explain in detail

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