If (2^3)^2 = 4^x, then 3^x = - Vidyadip

Question

If $(2^3)^2 = 4^x,$ then $3^x =$

✓

Answer

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 $27$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Number systems→Number systems — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

Any point on line x = y is of the form:

The Diagonals AC and BO of a Parallelogram ABCD intersect each other at the point O such that $\angle\text{DAC} = 30^\circ$ and $\angle\text{AOB} = 70^\circ.$ Then $\angle\text{DBC}?$

The length of the longest rod that can be placed in a room of dimension (10m × 10m × 5m) is:

In the following distribution:

Wages(in Rs)	No of workers
More than 140	12
More than 130	27
More than 120	60
More than 110	105
More than 100	124
More than 90	141
More than 80	150

The number of workers having wage range (in Rs.) 110-120 is:

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is:

In a histogram, each class rectangle is constructed with base as:

The sides of a triangle are 7cm, 9cm and 14cm. Its area is:

For the frequency distribution given below, the adjusted frequency for the class 25-45 is:

Class Interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

If a > 0 and b > 0 then the point (a, b) lies in quadrant.

IV
II
III
None of these.

Write the correct answer in the following:
The total surface area of a cone whose radius is $\frac{\text{r}}{2}$ and slant height 2l is: