Evaluate log base 1/6 of 216

Math
log16(216)
Rewrite as an equation.
log16(216)=x
Rewrite log16(216)=x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1, then logb(x)=y is equivalent to by=x.
(16)x=216
Create expressions in the equation that all have equal bases.
(6-1)x=63
Rewrite (6-1)x as 6-x.
6-x=63
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
-x=3
Solve for x.
x=-3
The variable x is equal to -3.
-3
Evaluate log base 1/6 of 216

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