(t−1)(t−2)=0→t=1open paren t minus 1 close paren open paren t minus 2 close paren equals 0 right arrow t equals 1 Back-substitute:
Success in 11th-grade algebra depends on recognizing which "form" the problem takes. Always check your final answers—specifically with substitution—to ensure the values make sense, as an exponential result ( axa to the x-th power ) can never be negative.
2x=2→x=12 to the x-th power equals 2 right arrow x equals 1 3. Factoring Out the Common Term
2x=1→x=02 to the x-th power equals 1 right arrow x equals 0
The most common way to solve an exponential equation is to rewrite both sides so they have the same base. If Example: Solve Rewrite 16 as 242 to the fourth power