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Alg 2 02 Unit 7a Test B: Exponential and Logarithms Functions
By Teerani Sutthiphansakul
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Last updated about 3 years ago
18 questions
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Question 1
1.
Which functions represent exponential growth? Check all that apply.
f(x)=\frac{4}{5}\cdot(\frac{9}{2})^x
f(x)=5\cdot(\frac{1}{3})^x
f(x)=0.1\cdot8^x
f(x)=16\cdot0.3^x
f(x)=\frac{3}{8}\cdot2^x
f(x)=\frac{8}{5}\cdot(\frac{3}{4})^x
Question 2
2.
Graph ONE of the following 2 functions and identify the key characteristics. Fill in the x and y table:
OPTION 1:
OPTION 2:
Graph ONE of the following 2 functions and identify the key characteristics. Fill in the x and y table
Domain: x _______
Range: y > _______
y-intercept: (_______ ,_______ )
Asymptote: y=_______
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Question 3
3.
Which is equivalent to
4^{x}=42
log_{4}x=42
log_{42}4=x
log_{4}42=x
log_{x}4=42
Question 4
4.
Which is equivalent to log_{3}18=x+2
3^{18}=x+2
18^{3}=x+2
18^{x+2}=3
3^{x+2}=18
Question 5
5.
The expression log_{25}5 is equivalent to which of the following
5
1/2
2
1/5
Question 6
6.
Solve for x:
5^{4n-5}=5^{n+7}
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Question 7
7.
Solve for x
(\frac{1}{3})^{2x} =81^{2x+5}
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Question 8
8.
Solve for x:
9^{2}\cdot9^{2x+4}=\frac{1}{81}
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Question 9
9.
Solve: log 100
Question 10
10.
Solve log_{3}92 (put your answer to 3 decimal places)
Question 11
11.
Simplify the expression below
log_{2}2+log_{3}27
2
4
5
29
Question 12
12.
Which is equivalent to log(\frac{b^2}{a})
2\cdot log b-log a
log 2b-log a
2\cdot(logb-loga)
2\cdot log b+log a
Question 13
13.
Which is equivalent to the expression:
2log x-2(log y+log y)
log(\frac{x^2}{y^4})
log(\frac{x}{y})^2
log(\frac{y^2}{x^4})
log(xy)^2
Question 14
14.
Simplify (condense) 3log_2{4} - 5log_{2}2 (your answer should have a log)
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Question 15
15.
Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)
3log_{4}8+log_{4}15-2\cdot log_{4}3
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Question 16
16.
OPTIONAL: Expand the expression
log(\frac{x^9}{y^4})^2
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Question 17
17.
OPTIONAL Expand
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Question 18
18.
OPTIONAL: Graph the following functions and identify the key charasteristics. Fill in the x and y table.
Domain: x> _______
Range: y is _______
y-intercept: (_______ ,_______ )
Asymptote: x=_______
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