What is the next term in the multiplication or geometric pattern that begins in 14, 70, 350

1. 630

2. 700

3. 1750

4. 2450

OPTION 3.

Step-by-step explanation:

To solve this problem you must calculate the common ratio "r" of the geometric pattern as following:

Now you must multiplpy the term 350 by the common ratio calculated above. Therefore, you obtain that  the next term in the multiplication or geometric pattern is:

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

combine all like terms then its just a 2 step equation