Evaluate log base 1/6 of 216

Rewrite as an equation.
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.
Create expressions in the equation that all have equal bases.
Rewrite (6-1)x as 6-x.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for x.
The variable x is equal to -3.
Evaluate log base 1/6 of 216

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