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WorksheetsLogarithms and Exponentials Inverse
Total questions: 20
Worksheet time: 20mins
Find the inverse of the function f(x)=5(x+2)
f-1(x)=log5(x-2)
f-1(x)=log5(x)-2
f-1(x)=log5(x)+2
f-1(x)=log5(x+2)
Convert log(x)=5 to exponential form
5=x
x=5
5=10
5=x
Find the inverse of f(x)=2log3(x)
f-1(x)=3(x/2)
f-1(x)=(3x)/2
f-1(x)=3x
f-1(x)=3(x-2)
Convert log(x)=y+2 to exponential form.
10(y+2)=x
1x=y+2
10x=y+2
x(y+2)=10
logx(64)=3
x=8
x=4
x=3
x=64
Convert log12(x)=2 to exponential form.
122=x
12x=2
x2=12
2x=12
Find the inverse of the function f(x)=log3(x)+5
f-1(x)=3x-5
f-1(x)=3(x+5)
f-1(x)=3(x-5)
f-1(x)=3x+5
Find the inverse of f(x)=log4(x+4)
f-1(x)=4(x-4)
f-1(x)=4x+4
f-1(x)=4x-4
f-1(x)=4x
Convert 6(x+2)=216 to logarithmic form
log216(x+2)=6
log6(x+2)=216
log6(216)=x+2
log(x+2)(216)=6
Convert log8(x+2)=3 to exponential form.
8(x+2)=3
3(x+2)=8
83=x+2
38=x+2
Find the inverse of f(x)=log3(x+2)
f-1(x)=1x
f-1(x)=3x-2
f-1(x)=3(x-2)
f-1(x)=3(x+2)
Convert 10(x+5)=100 to logarithmic form.
log100=x+5
log(x+5)=100
log(100)=x+5
log(x+5)(100)=10
Convert 2x+6=10 to logarithmic form
log4(x)=2
log2(4)=x
log2(10)=6
log2(x)=4
Logarithms are the inverse of ___________.
Trees
Quadratics
Square
Exponential
How are exponentials and logarithms related?
They're cousins
They're inverses
They're not related
They're reciprocals
log228 =
8
2
1
16
Find the inverse of y=9x
y=logx9
y=log109
x=logy9
y=log9x
Log with a base "e" (loge) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LNe
Which equation is the inverse of the equation above?
A) y = 2x + 3
B) y = (x - 3)/2
C) y = 3 - 2x
D) y = 1/(2x + 3)
Which equation is the inverse of the equation above?
