Identify Base: Identify that both sides of the equation have the same base, which is 7. Since the bases are the same, we can set the exponents equal to each other. 2x+7=1
Set Exponents Equal: Solve for x by subtracting 7 from both sides.2x=1−72x=−6
Solve for x: Divide both sides by 2 to isolate x.x=2−6x=−3