Question

2^2x+2 *5^x-1=8^x*5^2x

Answer 1

Answer:

The solution will be "x = 2 and x = -1".

Step-by-step explanation:

The given equation is:

⇒  $2^{2x+2}\times 5^{x-1}=8^x\times 5^{2x}$

On solving "$8^x$", we get

⇒  $2^{2x+2}\times 5^{x-1}=(2^3)^x\times 5^{2x}$

As we know, if the base are same then their powers will be added together.

⇒  $2x+2=3x$ ...(equation 1)

⇒  $x-1=2x$ ...(equation 2)

From equation 1, we get

⇒  $2=3x-2x$

⇒  $2=x \ i.e., x =2$

From equation 2, we get

⇒  $-1=2x-x$

⇒  $-1=x \ i.e., x=-1$

So that the correct answer will be "x = 2" and "x = -1".