log base 2√2 of x if log base√2of x=a
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Algebra Examples
Popular Problems Algebra Solve for x log base 2 of x+ log base 2 of x-2=3
log2(x)+log2(x−2)=3
Simplify the left side.
log2(x2−2x)=3
Rewrite log 2(x2−2x)=3
in exponential form using the definition of a logarithm. If x and b
are positive real numbers and b≠1
, then logb(x)=y is equivalent to by=x.23=x2−2x
Solve for X
x=4,−2
Exclude the solutions that do not make
log 2(x)+log2(x−2)=3true.
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