Question

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

Answer 1

Answer:

x=-2

Step-by-step explanation:

Answer 2

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.