Karteikarten
log review
Karten in diesem Stapel (30)
- 1For Final only: what is the dimensions of the matrix?3 x 4
- 2how would you solve this system?best to clear fractions! multiply first equation by 15 to get 5x + 3y = 15 and the second by 8 to get 4x + y = -4.
- 3For Final only: use backward substitution to solve the system2z = -8 so z = -4. substitute this into z on 2nd equation to solve for y. y = -13/2. use these to now solve for x in first equation
- 4write as a single loglog (5^7p^4)
- 5solve for x.ex to log
log3 (5) = x+ 2. now subtract 2.
use change of base if you need decimal answer.
- 6write as a single log.ln (10 sqrt(5p) e^2 )
- 7what is the domain of this function?x/4 - 5 > 0 next, multiply by 4
x-20 > 0 so x > 20
- 8solve."cancel e" (using inverses) to get
2 + 3 log x = 8
clean up: logx = 2 so
10^2 = x
x=100
- 9solve for x.main idea: change log to exp
2^1 = (3x - 1)^1/3
cube both sides
8= 3x - 1
x = 3
- 10solveclean up (divide by 2), then notice bases are the same so you can cancel to get
x^2+ 2 = 1
get x alone or use formula:
x^2 = -1 so x = + - i
- 11solve for x.Bring logs together first!
log4 ( (2x-1)(x+1) ) = .5
log to exp
4^.5 = (2x-1)(x+1)
2=(2x-1)(x+1)
FOIL then =0 and formula
- 12solve for x.cancel 5 using inverses
cube both sides
x-1 = 64
x = 65
- 13solve for xcancel logs (using inverses) to get
x = x^2 - 2. finish with quad. formula
- 14solve for xyou want to cancel x but first bring logs on left side together.
log (x ( x+3) ) = log 10
x(x + 3) = 10
x^2 + 3x = 10 get "= 0" then formula
- 15A fundraiser sold children and adult tickets. The former were $5 and the latter $7 each. If they raised $660 by selling 100 tickets, how many of each ticket were sold? write a system of equation.c+a = 100
5c+7a =660 - 16For Final only: Write a system of equations3x+ 4y = 6
-3x + 2y = 12
- 17For Final only: what is the dimensions2 x 3
- 18For Final only: write a matrix equation to solve this and then solve.AX= B where A is left and B = right.
x = A-1 B
answer by calculator: y = 3 and x = -2 - 19Solving a system you find the following: x = 0 what does this tell you?the solution is consistent and by graphing method the graphs will meet
- 20Solving a system you find the following: 4 = 0 what does this tell you?solution set is inconsistent and graphs will not meet
- 21Solving a system you find the following: 0 = 0 what does this tell you?solution is consistent but coincidental.
- 22simplifyAll you are doing is simplifying each log:
5 - 5 + 3 = 3
- 23what is the domain?2x + 6 > 0 so x . -3
- 24expand3log5 (25) + 3 log5 (x) - 1/2 log5 (y)
- 25expand3 ln(2) + 3 ln (e) - 6 ln (p)
- 26Find the inverse of f(x) = 3(x-1) ^2+7switch x and y and solve for y:
= [(x-7)/3]^1/2 - 27Find the inverse of f(x) = 3ln(x-1) +7switch x and y and solve for y:
= e ^ [(x-7)/3] - 28Find the inverse of f(x) = 4^(3x-1) -2switch x and y and solve for y:
- 29Find the domain for each: y = 3log(5-2x) + 34 y = 3log[2x(x-3)(x+1)] + 34Set up with ( ) > 0 then use number line:
x < 2.5
(-1,0) U (3, inf.) - 30given part of the graph of the exponential graph of f(x) and f(1) = 4 then find f(x)Take 2 points and substitute into y = c a^x and solve. answer y = 8 x .5 ^x
use the points (1,4) and (3,1) from the graph
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- Beschreibung
- 12th grade Math Karteikarten am log review, erstellt von Lance Erickson am 19/04/2017.
- Erstellt von
- Lance Erickson
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- 195
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