Rewrite the equation as (100)2z=100.
Create equivalent expressions in the equation that all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Divide each term by 2 and simplify.
Divide each term in 2z=1 by 2.
Cancel the common factor of 2.
Cancel the common factor.
Divide z by 1.
The result can be shown in multiple forms.
Solve for z 100=(100)^(2z)