Elena is making greeting cards, which she will sell by the box at an arts fair. She paid $54 for a booth at the fair, and the materials for each box of cards cost $9.50. She will sell the cards
for $11 per box.
At some point, she will sell enough cards so that her sales cover her expenses. How much will
the sales and expenses be? How many boxes of cards will that take?
Elena's sales and expenses will both be $
if she sells
boxes of cards.
Submit

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step-by-step explanation:

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

3100

step-by-step explanation:

t= 1/3.

hope this .

step-by-step explanation: