You want to prove a theroum in a two coulum proof. You start with your given statement and list deductions in the left hand column. What are the tree main types of reasoning you will use for reasons in the right hand column?

Definitions, postulates, and theorems.

Step-by-step explanation:

- Definition: This is a statement that describe the meanings of the terms being used.

- Postulate: This is a statement that is assumed true without proof. It is a statement that is taken to be "clearly true".

- Theorem: This is a statement that is never assumed to be true until it is proven so. It depends strongly on proofs.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752