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Alg 2 02 Unit 7a Test A: Exponential and Logarithms Functions
By Teerani Sutthiphansakul
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Last updated about 3 years ago
18 questions
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3
8
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Question 1
1.
Which functions represent exponential growth? Check all that apply.
f(x)=\frac{8}{5}\cdot(\frac{3}{4})^x
f(x)=\frac{4}{5}\cdot(\frac{9}{2})^x
f(x)=5\cdot(\frac{1}{3})^x
f(x)=\frac{3}{8}\cdot2^x
f(x)=0.1\cdot8^x
f(x)=16\cdot0.3^x
Question 2
2.
Graph ONE of the following 3 functions and identify the key charasteristics. 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
5^{x}=32
log_{5}32=x
log_{32}5=x
log_{x}5=32
log_{5}x=32
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Question 4
4.
Which is equivalent to log_{3}18=x+2
18^{3}=x-1
3^{18}=x+2
3^{x+2}=18
18^{x-1}=3
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Question 5
5.
The expression log_{25}5 is equivalent to which of the following
5
1/5
1/2
2
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Question 6
6.
Solve for x:
9^{3x-7}=9^{5-x}
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Question 7
7.
Solve for x
\frac{1}{27} =3^{4m-1}
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Question 8
8.
Slove for n:
4^{3}\cdot4^{2n-9}=64
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Question 9
9.
Solve: log 1000
Question 10
10.
Solve log_{3}92 (put your answer to 3 decimal places)
Question 11
11.
Which is equivalent to log(\frac{b^3}{a})
3\cdot(logb-loga)
3\cdot log b+log a
log 3b-log a
3\cdot log b-log a
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Question 12
12.
Which is equivalent to the expression:
2log x-2(log y+log y)
log(\frac{x^2}{y^4})
log(xy)^2
log(\frac{x}{y})^2
log(\frac{x^2}{4y^2})
Question 13
13.
Simplify the expression below
log_{2}2+log_{3}27
4
29
2
5
Question 14
14.
Simplify (condense) 3log_4{8} - 5log_{4}2 (your answer should have a log)
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Question 15
15.
OPTIONAL: Condense, then use the change of base formula to evaluate the logarithm (your answer should be a number to 4 decimal places)
log_{2}27+log_{2}4-2\cdot log_{2}3
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Question 16
16.
OPTIONAL: Expand the expression (HINT: your answer should have a minus sign and no exponents)
log(\frac{x^9}{y^4})
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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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