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
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
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.
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