Question

log base 2 (x+4) + log base 2 (x+3) =1

I got solutions x=-5 and x=-2, but are both valid solutions or
just one? I checked work on an app and found the solution to be
x=-2, but i do not know how to check myself without using a
calculator.

Answer #1

Solve the following equations algebraically. Be sure to check
for extraneous solutions.
A). (9^2x)(1/3)^(x+2) = 27(3^x)^-2
B). 3^x+4 = 2^1-3x
C). log base 3(x-2) + log base 3 (x-4) =2

Solve the following equations:
1) 4e^(2x)+5=17
2) e^(2x)-e^x-12=0
3) 2ln(x+1)=18
4) log(3x+2)-Log(4)=log(x+4)

1. solve for x and graph solutions on a real number line
-7≤ 2x+5≤21
2. Solve for x and graph solution on a real number line
|7-3x|>2
3. write without absolute value and do not replace radical with
decimal representation:
|4- radical 17|
4. Solve for x and check
| 2x-11 | =31
Side note* | means absolute value for 4 its
absolute of 4- radical 17 and then absolute

Find the pH of the following solutions given: pH = pKa + log
(base/acid)
1) The titration of 450.00 mL of 0.5 M nitric acid with 0.3 M
sodium hydroxide after 250.0 mL of sodium hydroxide has been
added...
2)Given the Kb for aniline = 4.3 x 10-3 at
25 degree Celsius, what is the pH of a .40 Molar solution of
anilinium nitratate?

Find all, if any, solutions to the system:
x ≡ 5 (mod 5)
x ≡ 3 (mod 7)
x ≡ 8 (mod 11)
x ≡ 2 (mod 17)
need help with discrete math HW, please write solutions clearly,
and please don't just answer wrong solution, cus then i will need
to post the same question twice. i appreciate every help i can get
but please let someone else help me solve the question if you're
not sure about any part...

Divide-and-Conquer technique is famous for providing O(n log n)
solutions for problems with O(n2) straight forward
solutions. One of those problems is the “Maximum Subarray Sum” or
“Maximum Value Contiguous Subsequence": Given a sequence of n
numbers A[0 ... n-1], give an algorithm for finding a contiguous
subsequence A[i ... j], for which the sum of elements in this
subsequence is the maximum we can get by choosing different i or
j.
For example: the maximum subarray sum for the...

Find the complete factorization of P(x) = x^3-64
The answer I got was (x-4)(2-2i√3)(2+2i√3) but I'm not sure if
this is right!

Let X = {1, 2, 3, 4} and Y = {2, 3, 4, 5}. Define f : X → Y by
1, 2, 3, 4 → 4, 2, 5, 3. Check that f is one to one and onto and
find the inverse function f -1.

f(x)= -4x/ x^2+4
i think i found the first dervivative: f'(x)=
(4x^2-16)/(x^2+4)^2
but im not sure if thats right and then i get confused after
that on how i find the critical numbers: x=____
i think i got x=2 for the critical number
then i am supposed to find where it is increasjng and
decreasing and i dont understand the steps on how to find that out-
i understand the number line but how do you plug in the
numbers...

1. (a) For each of x = 1, 2, 3, 4, 5, 6 find a ∈ {0, 1, ..., 6}
where x 2 ≡ a (mod 7).
(b) Does x 2 ≡ a (mod 7) have a solution for x every integer a?
Justify your answer!
(c) For a ∈ {1, ..., 6} (so a not equal to 0!), how many
solutions for x are there in the equation x 2 ≡ a (mod 7)?
What is the pattern here?

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