The value of x for the given equation [tex]4^{3x - 2} = 4^{x+1}[/tex] will be 3/2.
What is the equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given,
[tex]4^{3x - 2} = 4^{x+1}[/tex]
Since the base is the same so power must be the same (law of indices)
So,
3x - 2 = x + 1
3x - x = 1 + 2
2x = 3
x = 3/2
Hence, The value of x for the given equation [tex]4^{3x - 2} = 4^{x+1}[/tex] will be 3/2.
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