Using logarithmic laws: log(a) + log(b) = log(ab)
log₄ (x + 9) + log₄ (x + 21) = log₄ [(x + 9)(x + 21)] = 3
Since we want the equation in terms of x, the next intuitive step is take 4 to the power of both sides, because the left hand side will simplify easily.
Solving the quadratic we get:
BUT, for the logarithmic equation to be defined, x > -9, so x≠ -25
Thus, the only solution is x = -5.
Answer:
Prove attached below
Step-by-step explanation:
Attached below is the detailed solution to prove that there are
flagpole length = n feet
number of flags = 3
Answer:
c = (y-0.13y)(1.08)
Step-by-step explanation:
c = cost and y = the original price
The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.
Hope this helped!
soo this may seem a little awkwark but it still should provide the same resault however its faster :)
so we have
(48x^5-16x^3+40x)/8x
What we are going to be doing is factoring out any and all possibilities for
(48x^5-16x^3+40x)
first factor
(8x(6x^4-2x^2+5))/8x
when we get to this step simplify 8x
we are left with 6x^4-2x^2+5
in order to get an answer that would often be used by long devision just get rid of the +5
This is just a remainder using long devision your instructer may ask for
6x^4-2x^2
Hope it helps
(-2,18):(8,38) Set them equal to each other you get, x^2-6x-16=0, you can factor to get, (x-8)(x+2) to get solutions 8,2 for the x values then plug in for y values.
