Inverse
Composites
1:1 Property
Expand/Condense Logs
Solving Log Equations
100
Given the graph of the log function, two coordinates of that will be on the graph of the inverse.
The graph shown is
log_4(x+2)
What are (0.90309, 0) and (1.204, 2)
100
Given this table, the answer to g(f(0))
What is 10
100
What x equals in this equation:
3^(x-2)=3^(2x+5)
What is x = -7
100
The expansion of this log expression:
log(a^3b)
What is
3log(a)+log(b)
100
What x is in the equation
log_3(x+4)=log_3(5x)
What is x = 1
200
To check if two functions are inverses of each other, one must check _________________
What is check if the compositions of each function equals x?
200
The answer to this composition:
f(x)=x^2+3 and g(x)=x-2
f(g(5))
What is 12
200
What x equals to in this equation
8^(-6x+14)=64^(-x-5)
What is x = 6
200
The expansion of the log expression:
log(root[3](xy)/z)
What is
1/3log(x)+1/3log(y)-log(z)
200
What x is in the equation
log_4(2x+4)=3
What is x = 30
300
The inverse of this function:
f(x)=8(x-1)^3
What is
f^-1(x)=root[3]x/2 - 1
300
What f(g(x)) equals to if
f(x)=-5/2x+10 and g(x)=-2/5x-10
What is
x+35
300
What this log expression can be evaluated as:
log_(1/32)(16)
What is
-4/5
300
The answer when this log expression is condensed
log(a)-(5log(b)-2log(c))
What is
log((ac^2)/b^5)
300
What x is in this equation
log_4(x)=5/2
What is x = 32
400
The inverse of this function:
g(x)=9+3\sqrt(x-2)
What is
g^-1(x)=(x-9)^2/9 + 2
400
What m(n(x)) equals to if
m(x)=x^2+3x-5 and n(x)=x-2
What is
x^2-x-7
400
What x equals to in this equation:
(2/3)^(-7x)=(4/9)^(1/2x-5/2)
What is
x = 5/8
400
The answer when this log expression is condensed
1/3log(a)-(1/4log(b)+7log(c))
What is
log(root[3]a/(root[4](b)c^7))
400
What x is in this equation fully reduced
log_3(x)-log_3(x+2)=2
What is
x = -9/4
500
The inverse of this function:
h(x)=log_2(x+1)+3
What is
h^-1(x)=2^(x-3)-1
500
What p(r(x)) equals to if
p(x)=-5/2x and r(x)=(1-x)/x
What is
(-5x)/(2-2x)
500
What x equals to in this equation
log_8(x)+log_8(x+6)=log_8(5x+12)
What is
x=3
500
What log(200) simplifies to if log(2)=x
What is
x+2
500
What x equals to in this equation
log_4(x+1) + log_4(x-5)=2
What is x = 7