MCQ
If $2^{5 x} \div 2^x=\sqrt[5]{2^{20}}$, then $x=$
- A2
- B4
- ✓1
- Dnone of these
✓
Answer
Correct option: C.
1
(c)
We have,
$2^{5 x} \div 2^x=\sqrt[5]{2^{20}} \Rightarrow \frac{2^{5 x}}{2^x}=\left(2^{20}\right)^{1 / 5} \Rightarrow 2^{5 x-x}=2^{20 x \frac{1}{5}} \Rightarrow 2^{4 x}=2^4 \Rightarrow 4 x=4 \Rightarrow x=1$
We have,
$2^{5 x} \div 2^x=\sqrt[5]{2^{20}} \Rightarrow \frac{2^{5 x}}{2^x}=\left(2^{20}\right)^{1 / 5} \Rightarrow 2^{5 x-x}=2^{20 x \frac{1}{5}} \Rightarrow 2^{4 x}=2^4 \Rightarrow 4 x=4 \Rightarrow x=1$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is:
If the coordinates of a point $P(x, y)$ satisfy the relation $x y>0$, then $P$ may lie
→Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Sum of two irrational numbers $2+\sqrt3$ is an irrational number.
Reason: Sum of a rational number and an irrational numbers is always an irrational number.
→Assertion: Sum of two irrational numbers $2+\sqrt3$ is an irrational number.
Reason: Sum of a rational number and an irrational numbers is always an irrational number.
If $x + 1$ is a factor of the polynomial $2x^2 + kx,$ then $k =$
→→
In Figure, if $\text{EC}\ ||\text{ AB}, \angle\text{ECD} = 70^\circ$ and $\angle\text{BDO} = 20^\circ,$ then $\angle\text{OBD}$ is: 
→Which of the following is a false statement?
The zeros of the polynomial $p(x)=x^2-3 x$ are:
→In Fig. if $\angle A B C=45^{\circ}$, then $\angle A O C=$
→The perimeter of a rhombus is $20\ cm.$ One of its diagonals is $8\ cm.$ Then area of the rhombus is:
→