Triangle abc and def are congruent. find x.

Δ ABC ≡ ΔDEF

⇒ ∠DEF = ∠ABC

.

Solve x:

x - 8 = 65

x = 73

.

x = 73°

Because ABC and DEF are congruent.

m∠A = m∠D

m∠B = m∠E

m∠C = m∠F.

We need m∠B = m∠E.

m∠B = 65⁰

m∠E = (x-8)⁰

65 = x-8

x=65 + 8 = 73⁰

x=73⁰.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.