EMILIO AGUINALDO COLLEGE
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Tel. Nos. (046) 416-4341-42 www.eac.edu.ph
ISO 9001:2015 CERTIFIED
QUALITY MANAGEMENT SYSTEMS
• VI R T U E • E X C E L LENCE • S E R V ICE
SENIOR HIGH SCHOOL
Work Sheet No. 3
Logarithmic Function
A. Convert the following logarithmic equations to exponential equations and vice versa
Logarithmic Equations Exponential Equations
1.
log 100=2
102=100
2.
log
√
3
2=2
(
√
3)
2
=2
3.
log
1
2
1
32 =5
(
1
2
)
5
=1
32
4.
log
2
256=8
28=256
B. Convert the following logarithmic functions to exponential functions and vice versa
Logarithmic Functions Exponential Functions
1.
log 1
4
y=x
y=( 1
4)
x
2.
log
5x
y=2
(5x)2=y
3.
log
4
3y=x
3y=4x
4.
log
(x+1)
y=3
(x+1)3=y
C. Determine the inverse of the given function. Show your solution. (5 pts. each)
1.
f
(
x
)
=ln
(
x−4
)
−6
y=ln
(
x−4
)
−6
x=ln
(
y−4
)
−6
x+6=ln
(
y−4
)
e
x+6
=y−4
ex+6+4=y
f
−1
(
x
)
=e
x+6
+4
2.
g
(
x
)
=log9(x−6)
y=log
9
(x−6)
x=log9(y−6)
9
x
=y−6
9x+6=y
f−1
(
x
)
=9x+6
