What is the prime factorization of the number 312

312 = 2 × 2 × 2 × 3 × 13 = 2³ × 3 × 13

divide 312 by 2  until complete then 3 then 13 to obtain prime factors

312 ÷ 2 = 156

156 ÷ 2 = 78

78 ÷ 2 = 39 ( 2 does not divide into 39 , move to next prime 3 )

39 ÷ 3 = 13

13 ÷ 13 = 1 ( on reaching 1 , completed )

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.