Math, asked by lakrasonia2006, 7 months ago

2 to the power 3 whole to the power 4 =2 to the power 2 whole to the power x.Find the value of x with explanation​

Answers

Answered by anoopsaini992008
5

Answer:

X=6

Step-by-step explanation:

Now,

((2)^3)^4=((2)^2)^X

2^12=2^2x

12=2x

x = 12/2=6

X=6

Answered by Abhijeet1589
0

The value of x is 6.

GIVEN

(2³)⁴ = (2²)ˣ

TO FIND

The value of x

SOLUTION

We can simply solve the above problem as follows;

We are given a mathematical expression;

(2³)⁴ = (2²)ˣ

We know that,

(aᵐ)ⁿ = aᵐˣⁿ

Therefore,

(2³)⁴ = (2²)ˣ

Since the base in LHS and RHS is same.

3× 4 = 2 × x

12 = 2x

x = 12/2 = 6

Hence, The value of x is 6.

#Spj2

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