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MAT 205 WU Base Formula Questions

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name
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1. Use the change of base formula to compute
a. log4 11
b. 10
7
3
c. log4 11
d. log15
2. Solve for x.
a. logx 343 = 3
b. logo x = 3
c. logs 625 = x
d. logx 1000 = 3
3. Fill in the missing values
a. log3 5 + log3 6 = log2
b. log2 3 – log2 12 = log2
1
c. log4 64
– 3log4
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4. a. Rewrite as a logarithmic equation.
53 = 125
b. Rewrite as an exponential equation
logs 25 =
– 2
1
c. Rewrite as a natural logarithmic equation
el = x
d. Rewrite as an exponential equation
In y = 5
5. Evaluate
a. log3 =
b. log2 64 =
C. log64 =
d. log7 49
Extra Credit
a. Rewrite as a logarithmic equation
63 = 216
b. Rewrite as an exponential equation
log, 16,807 = 5

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