Question

if 8powerX=0.25, then find the value of x.​

Answer 1

Answer:

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Step-by-step explanation:

I am given that 8^x=0.25=1/4.

Let's take log on both sides.

8*log(X) = -log(4)

By taking log we have skipped the cases of X being negative…

So let's solve for 8log(|8|)=-log(4) = -2log2 and will check the solutions of this equation in the original equation 8^x=1/4

8log(|8|)=-2log(|-2|)

On comparing the 2 sides, we get X=-2 as one solution.

Let's check in the equation 8^x=1/4

(-2 )^(-2)=1/(-2)^2=1/4

Perfect!!

Therefore the solution is X=-2

Answer 2

Answer:

$8 {}^{x} = 0.25$

$8 {}^{x} = (0.5) {}^{2}$

x = 2

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