Question

Solve 4^(5x)=16^(2x-1)

Answer 1

Answer: x= -2

Explanation:

Given the equation

`4^(5x)=(16)^((2x-1))`

Now, we can also write the above equation as

`4^(5x)=(4)^(2(2x-1))`

`4^(5x)=(4)^((4x-2))`

Now, taking log on both sides

`log(4^(5x) )=log(4^(4x-2))`

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.