Find the value of x if 4^3 3^3 = (4x)^3.
Answers
Step-by-step explanation:
64
27
1728=64x^3
x^3=1728/64
x=3
The correct answer is x=1.
Given:
4³. 3³ = (4x)³
To Find:
The value of x.
Solution:
To solve this question, we need to understand the basic rules of exponentiation.
If n is a positive integer and a is any real number, the:
= a x a x...a (n times).
Here, a is called the base, and n is called the exponent or power.
Let us assume that x, y, a, and b are integers.
1) Product of exponentials having the same base:
2) Quotient of exponentials with the same base:
, x≠0.
3) The power of power:
4) The power of a product:
Now, we are given 4³. 3³ = (4x)³. From rule 4, the LHS of the given equation becomes:
4³. 3³ = (4.3)³
Hence, the equation becomes:
(4.3)³ = (4x)³.
On comparing both sides, we get x=1.
∴ The correct answer is x=1.
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