MCQ
If $(2^3)^2 = 4^x,$ then $3^x =$
- A$3$
- B$6$
- C$9$
- ✓$27$
✓
Answer
Correct option: D.
$27$
We have to find the value of $3^x$ provided $(2^3)^2 = 4^x$
So, $2^{3\times 2} = 2^{2x}$
$2^6= 2^{2x}$
By equating the exponents we get
$6 = 2x$
$\frac{6}{2}=\text{x}$
$3 = x$
By substituting in $3^x$ we get
$3^x = 3^3$
$= 27$
The value of $3^x$ is $27$
So, $2^{3\times 2} = 2^{2x}$
$2^6= 2^{2x}$
By equating the exponents we get
$6 = 2x$
$\frac{6}{2}=\text{x}$
$3 = x$
By substituting in $3^x$ we get
$3^x = 3^3$
$= 27$
The value of $3^x$ is $27$
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
→→→→→→→
In the given figure, O is the centre of a circle in which $\angle\text{OAB}=20^\circ$ and $\angle\text{OCB}=50^\circ.$ Then, $\angle\text{AOC}=?$
→If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
Let m be the mid-point and I be the upper-class limit of a class in a continuous frequency distribution. The lower class limit of the class is:
Axiom and postulates are:
The following marks were obtained by the students in a test:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is:
- 9
- 17
- 27
- 33
In Fig. if $\text {DC}\parallel\text{DC}$ and $\text{AB}=\text{AC},$ the value of $\angle\text{ABD}$ is:
→-
70º
-
110º
-
120º
-
130º
For which set of data does the median equal the mode?
In a bar graph, 0.25cm length of a bar represents 100 people. Then, the length of bar which represents 2000 people is:
A cuboid is $12\ cm$ long, $9\ cm$ broad and $8\ cm$ high. Its total surface area is:
→