Answer: x= -2
Explanation:
Given the equation
[tex]4^{5x}=(16)^{(2x-1)}[/tex]
Now, we can also write the above equation as
[tex]4^{5x}=(4)^{2(2x-1)}[/tex]
[tex]4^{5x}=(4)^{(4x-2)}[/tex]
Now, taking log on both sides
[tex]log(4^{5x} )=log(4^{4x-2)}[/tex]
So, the above the equation can be written as
5x=4x-2
Simplifying the equation,
5x-4x=2
x= -2
Hence, the value of x = -2. Which satisfy the given equation in the question.
