NEW
Font size
WorksheetsLogarithms and Exponential
Total questions: 20
Worksheet time: 20mins
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
Log with a base "e" (loge) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LNe
Log with a base "e" (loge) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LNe
Solve the equation for x.
7.389
0.693
0.0183
6.581
Solve for x:
1
2
.5
4
Which equation matches the graph?
y = 2x+3
y = 2x + 3
y = 2x
y = 2-x
Which of the following is an exponential decay model?
y = 3 * (1/2)x
y = 1/2 * (3)x
y = -2 * (2)x
y = -3 * (3/2)x
What is the asymptote for the logarithmic function
f(x)=log(x−2)
x = 2
x = -2
y = 2
y = -2
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
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 6(x+2)=216 to logarithmic form
log216(x+2)=6
log6(x+2)=216
log6(216)=x+2
log(x+2)(216)=6
Find the inverse of the function f(x)=4(x+1)-1
f-1(x)=log4(x+1)-1
f-1(x)=log4(x-1)+1
f-1(x)=log4(y+1)-1
f-1(x)=log4(x)
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
What is the inverse of f(x)=5x+3?
f-1(x)=log3(x-5)
f-1(x)=log5(x)-3
f-1(x)=log5(x-3)
f-1(x)=log5(x+3)
