Asked by Ann
Solve the equation log2(x^2-20) - log2X =3
the two is the base*
the two is the base*
Answers
Answered by
MathMate
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.
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.
Answered by
MathMate
Nancy, Ann, Brooke, etc.
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