Solve the equation log2(x^2-20) - log2X =3

Question

the two is the base*

Answer 1

Use the rules of logarithm (any base):
log(a)-log(b)= log(a/b)
and the definition of log to the base a
log_a(b)=x means a^x=b
where a>0.

So
log_2(x^2-20)-log_2(x)=3
means
log_2((x^2-20)/x)=3
now you can apply the definition of logarithm to solve for x.

Answer 2

Nancy, Ann, Brooke, etc.
We prefer you to use a single name at this site for continuity.
Thank you for your cooperation.