Algebra II Pre AP
Worksheet 7.4
7.5, 7.9
Name
Date
~
~
Period
-----------
.___Solveeach exponential equation.
/1/
__
1/
.X-
-
/(.2.
~=
EX 1.
4J2 = 8ZX+l
EX 2.
1
( -27
)-X+6
=
.r:: 72..
~s
EX 7.
32
EX 8.
!=
EX 9.
I),€
Write in exponential
6.
7-J7
2x
_
= 49x-2
form.
=
9
2-3
8
/.ry
0.001 = 10
81 x
-(0/,3
/0;:,.
Write in logarithmic
4.
-L
8/
==-4
5 =J25
=
7
11.
3-4=~
12.
163/4 = 8
7
81
V;S-:: I
~
form.
'£'J3
1
10.
S*
.2.
~ =/,
EX 13.
log416 = 2
17.
Iog ,
9
%::.:17
EX 14.
3
log9 27 =2
18.
3
log168 =4
1-~:; ~
EX 15.
1
1
logg - =-2
3
19.
EX 16.
log 1=0
20.
/0
D
;. f
EX21.
log j
1
-4
27
24.
logIj2
logs
16
25.
-3
26.
2
2
1
--%.
EX 22.
1
logs-=-3
125
Evaluate.
-3
1
-=--
log 0.001
J5 =-1
2
Solve each of the following.
X== Ifc;
_---=---___
37.
log ,
X
=-4
"2
1
K:::,;L
I'--
EX 28.
1og..ff 7 = x
38.
log ,
/c
EX 29.
log , 64 = 2
3
39.
logsx=-3
40.
log,
41.
log(2x-3)=log(x+2)
A/:::;.
~
~~yS'
~/L
(OJ I) U(
X:;:..11
(4x + 4) = log ,
log , x2
%
43.
logg16 = x
1C==~
44.
log , a5 = x
6"
45.
log ,
= 2x
46.
log, 6 = -2
1t.-
log , 1 = 0
fJ
2
42.
.1....L
=
log , 16
s: ;?S"
X --
f ~I~~O () KIt} 33.
-
1:::=+1
1
log -=2
x 25
32.
X =-
-f- ~~5'""
~.:=
00)
34.
2
log, 9 =3
35.
log , ~14
36.
1
log , -.
343
=
J3 = ~4
64