SOLUTION: Question 1
Find the value of x for the following logarithm functions:
a) log2 16^x + log2 8 = -½
b) log3 x^2 + log3 4 = log 1
QUESTION 2
The revenue function of a company
Algebra.Com
Question 130513: Question 1
Find the value of x for the following logarithm functions:
a) log2 16^x + log2 8 = -½
b) log3 x^2 + log3 4 = log 1
QUESTION 2
The revenue function of a company is R = 36q – 2q², where p represent the price per unit of the good and q represent the quantity demanded. Find the maximum value of the revenue for the revenue function given
QUESTION 3
The intersection point between two straight lines is (3,0), where the slope is given as below:
M1 = -2 dan M2 = 1
Find the equation for each of the two straight lines.
QUESTION 4
Find the average total profit if total revenue function is R(x) = x^2 – 50x and total cost function is C(x) = 100 – 30x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The intersection point between two straight lines is (3,0), where the slope is given as below:
M1 = -2 and M2 = 1
Find the equation for each of the two straight lines.
-----------
Line form: y = mx + b
If m1 = -2 and the line passes thru (3,0)
0 = -2*3 + b
b = 6
EQUATION is y = -2x + 6
------------
If m2 = 1 and the line passes thru (3,0),
0 = 1*3+b
b = -3
EQUATION is y = x -3
================================
QUESTION 4
Find the average total profit if total revenue function is R(x) = x^2 – 50x and total cost function is C(x) = 100 – 30x
-----------------
Profit = Revenue - Cost
Profit = x^2-50x - (100-30x)
P(x) = x^2-20x-100
========================
Cheers,
Stan H.
The revenue function of a company is R = 36q – 2q², where p represent the price per unit of the good and q represent the quantity demanded. Find the maximum value of the revenue for the revenue function given.
--------
Max occurs where q = -b/2a = -36/2*-2 = 9
R(9) = 36*9-2*9^2 = 162
---------------------------
QUESTION 5
Find the value of x for the following logarithm functions:
a) log2 16^x + log2 8 = -½
log2 2^4x + log3 2^3 =
4x+3 = -1/2
8x+6 = = -1
8x = -7
x = -7/8
============
b) log3 x^2 + log3 4 = log3 1
log2 [4x^2] = log3 1
4x^2 = 1
x^2 = 1/4
x = 1/2 or x = -1/2
RELATED QUESTIONS
QUESTION 4
The revenue function of a company is R = 36q – 2q², where p represent the... (answered by stanbon)
If log7(log3(log2(x)))=0, find the value of... (answered by Fombitz,jsmallt9)
find the value of x in each of the following
(a) log x 1/125 = -3
(b) 2log3 x + 1/2... (answered by Alan3354)
1. Prove that. (I) log3. Log2. Log√3 81=1
(ii) Logax X logby = Logbx (answered by ikleyn)
Could you please explain to me how to combine the terms of the expression into only one... (answered by stanbon)
solve for x:
a. log3(4x-7)=2
b. logx64=2
c. 2^(x+3)=8
d. log2(16)
(answered by nerdybill)
Simplify the following expressions:
log36 - log3 + log2
6 X log2 - 2 X log4
(answered by lwsshak3)
2. The expression log(3+x) is undefined for what values of x?
3. If loga = (1/3)logx - (answered by robertb)
what's the answer to this, can i also have the solution so i could know how to do it...we (answered by lwsshak3)