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Worksheets3) Solving Exponential and Logarithmic Eq.
Total questions: 19
Worksheet time: 2hrs 47mins
To solve, 165x = 64x+7, what would be the correct set-up?
There is more than one correct answer.
44(5x)=416(x+7)
82(5x)=88(x+7)
42(5x)=43(x+7)
24(5x)=26(x+7)
Solve.
9(ex) - 31 =23
x = 1.79
x = 4.21
x = -3.5
x = 1.27
Solve.
2(16x+6) - 8 = 35
-4.67
-4.89
-2.93
-2.95
Solve:
log(x) + log(x+3) = 1
5
-2
-5
2
Solve:
log9(x)+log9(x+2)=log9(35)
5
-7
5, -7
-7, -13
Solve:
log (x - 1) - log (x - 2) = log 5
7
4/9
9/4
1/7
To solve 8 = 25x+7, you would need to re-write 8 as what base?
8
4
2
Cannot be determined
Rewrite the exponential as a log.
23x+1 = 12
ln(2)= 3x+1
log2(12)= 3x+1
ln(6)=3x+1
log12(2)= 3x+1
Solve:
log2(x + 3)=5
x=2
x=29
x=7
x=32
Solve:
2log6(x-8)=2
14
81/8
18
9969
Which is the correct way to rewrite, log6(x-3)= 2, in order to solve.
62 = x-3
26 = x - 3
ln(2) = x-3
e6 = x-3
Solve:
log8(6-5x) = log8(3- 4x) (Put the answer in context!)
x = 3
No Solution
x = 9
x = 1
Solve:
ln(x+8) - ln (8) = 3
152.68
188.77
4.24
8.01
The first step to solve 8 + log 7 = 10 is...
Rewrite exponentially
Subtract 8 on both sides to isolate the log
Divide by 7 on both sides
What is the base in the equation
log 8 = 3?
8
10
3
1
Solve:
log9(-5x) - log9(6)=1
4.50
53.33
-10.800
13.50
Determine the correct set-up for:
log(x) + log (x-9) = 18
log(x)/(x-9)=18
log(-7x)=18
log(x)+(x-9)=18
logx(x-9)=18
Determine the correct set-up for:
log4(x-1) - log4(x+7) = log46
log4(x-1)/(x+7)=log4(6)
log4(x-1)(x+7)=log4(6)
log4(x+7)/(x-1)=log4(6)
(x-1)(x+7)=6
Solve:
log5(-60+n)=log5(n2+17n)
No Solution
-10 and -6
-10
-6