Leah is solving the equation below using the properties of exponents.
2^2x-3 =(1/16)^3x+9
here is leah's work:
line 1: 2^2x-3 =(2)^4(3x+9)
line 2: 2^2x-3 =(2)^12x+36
line 3: 2x-3=12x+36
line 4: -3=10x+36
line 5: -39=10x
line 6: -3.9=x

leah checks her answer and realizes she has made a mistake. on which line did leah make a mistake?
what was leah's mistake?

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.