Logarithm & Exponent Bingo
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What is the value of log 1003
For what value of A is log A = 1
For what exact value of B is ln B = 1
If C = 2 ln e4, then C is what value?
True or False: the function f(x) = ln(x – 4) has a y-intercept that is a
negative number.
Solve for x: log4(5x – 6) = 3
If log4 a = 2, then what is the value of √𝑎?
Solve for x:
log5(7x – 3) = log5(4x + 9)
Solve for x:
ln 4x = 2?
Solve for x:
log3 4(x + 1) = log3 (7x – 5)
What is the domain of y = log2(5 – x)?
Covert to logarithmic form: 7m = 30
Solve for x:
2 + 3log3 4x = 8
What is the value of log827
Solve for x:
ln x – ln 2 = 1
Solve for a: log(a – 2) = 2
Find the solution(s) for this equation:
ln(x – 5) = ln(2x + 11) – ln(x + 1)
Solve for x:
log4(x – 3) + log4(x – 6) = log4(x) + log4(x – 7)
What is the largest integer that is less than log 85?
Fill in the blank with >, < or = :
log1010,000 _____ ln e3
What is the value of log2(1/32)
If log K = 2.5186, what is the value of K to the nearest integer?
Evaluate log4(1/16).
You bought an iPad for $499, which depreciates at a rate of 7%
per year. Write an exponential model showing this and find
when the value will be about $300?
Review Problems
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Write the formula for half-life:
a. The isotope Hg-197 is used in kidney scans. It has a half-life of 64.128 h. After that time,
half the isotope will have decayed. Write the exponential decay function for a 12-mg
sample. Find the amount remaining after 72 h.
b. The isotope Sr-85 is used in bone scans. It has a half-life of 64.9 days. Write the
exponential decay function for an 8-mg sample. Find the amount remaining after 100
days.
Your parents give you $10,000. You place it in an account that pays 6.1% annual interest
compounded continuously. How much will you have in 20 years? Round the answer to the
nearest dollar.
Bram invested $10,000 in an account that earns simple 5% interest annually.
a. How much interest does the account earn in the first 10 years? Round to the nearest
dollar.
b. How long would it take the account to reach $25,000?
c. How much more would the account earn in interest in the first 10 years if the interest
compounded continuously? Round to the nearest dollar.
Write each expression as a single logarithm.
4.
log 8 + log 3
5. 4(log2 x + log2 3)
6. 3 log x + 4 log
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log 4 + log 2  log 5
Expand each logarithm.
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logb 2x2y3
x2
2y
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logb 3m3p2
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log b
( xy ) 4
2
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logb (4mn)5
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logb 5 x3
11.
log b
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Use the properties of logarithms to evaluate log8 6  log8 15 + log8 20.
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Solve:
16.
Determine whether the following functions represent exponential growth or decay.
e2xex = 7
1
a. y  0.99  
3
17.
x
b. y  20(1.75)
Identify the decay factor:
x
c.
y = 1.85(.75)x
18. What is the range of the graph y = 2x + 7
20. Identify the vertical asymptote of
y = log(x + 6) – 2
y  185( )
5 x
4
21
d. f ( x )   
32
x