Solving linear equations

1. P =

2.  y = or         (depending on how you want the equation arranged)

3. c =

4 t =

Step-by-step explanation:

1. I =Prt for P:

I = Prt                           divide both sides by rt to isolate P

P =

2. 3x + 11y = 6 for y

   3x + 11y = 6                  subtract 3x from both sides

   11y = 6 - 3x                   divide both sides by 11

   y = or         depending on how you want the equation arranged

3. a = b(c + d) for c

   a = b(c + d)                distribute b to (c+d)

   a = bc + bd                subtract bd from both sides

   a - bd = bc                 divide both sides by b

   c =

4. A = p + prt for t

   A = p + prt                   subtract p from both sides

   A - p = prt                    divide both sides by pr

   t =

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