log review

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12th grade Math Fichas sobre log review, creado por Lance Erickson el 19/04/2017.
Lance Erickson
Fichas por Lance Erickson, actualizado hace más de 1 año
Lance Erickson
Creado por Lance Erickson hace alrededor de 7 años
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For Final only: what is the dimensions of the matrix? 3 x 4
how 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.
For Final only: use backward substitution to solve the system 2z = -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
write as a single log log (5^7p^4)
solve for x. ex to log log3 (5) = x+ 2. now subtract 2. use change of base if you need decimal answer.
write as a single log. ln (10 sqrt(5p) e^2 )
what is the domain of this function? x/4 - 5 > 0 next, multiply by 4 x-20 > 0 so x > 20
solve. "cancel e" (using inverses) to get 2 + 3 log x = 8 clean up: logx = 2 so 10^2 = x x=100
solve for x. main idea: change log to exp 2^1 = (3x - 1)^1/3 cube both sides 8= 3x - 1 x = 3
solve clean 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
solve 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
solve for x. cancel 5 using inverses cube both sides x-1 = 64 x = 65
solve for x cancel logs (using inverses) to get x = x^2 - 2. finish with quad. formula
solve for x you 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
A 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
For Final only: Write a system of equations 3x+ 4y = 6 -3x + 2y = 12
For Final only: what is the dimensions 2 x 3
For 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
Solving 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
Solving a system you find the following: 4 = 0 what does this tell you? solution set is inconsistent and graphs will not meet
Solving a system you find the following: 0 = 0 what does this tell you? solution is consistent but coincidental.
simplify All you are doing is simplifying each log: 5 - 5 + 3 = 3
what is the domain? 2x + 6 > 0 so x . -3
expand 3log5 (25) + 3 log5 (x) - 1/2 log5 (y)
expand 3 ln(2) + 3 ln (e) - 6 ln (p)
Find the inverse of f(x) = 3(x-1) ^2+7 switch x and y and solve for y: = [(x-7)/3]^1/2
Find the inverse of f(x) = 3ln(x-1) +7 switch x and y and solve for y: = e ^ [(x-7)/3]
Find the inverse of f(x) = 4^(3x-1) -2 switch x and y and solve for y:
Find the domain for each: y = 3log(5-2x) + 34 y = 3log[2x(x-3)(x+1)] + 34 Set up with ( ) > 0 then use number line: x < 2.5 (-1,0) U (3, inf.)
given 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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