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Math Problems
Algebra 2
Quotient property of logarithms
Solve the following logarithm problem for the positive solution for
x
x
x
.
\newline
log
x
3
=
1
3
\log _{x} 3=\frac{1}{3}
lo
g
x
3
=
3
1
\newline
Answer:
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Solve the following logarithm problem for the positive solution for
x
x
x
.
\newline
log
64
x
=
3
2
\log _{64} x=\frac{3}{2}
lo
g
64
x
=
2
3
\newline
Answer:
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Use the following function rule to find
f
(
12
)
f(12)
f
(
12
)
.
\newline
f
(
x
)
=
7
x
+
2
x
2
−
7
f
(
12
)
=
□
\begin{array}{l} f(x)=7 x+2 x^{2}-7 \\ f(12)=\square \end{array}
f
(
x
)
=
7
x
+
2
x
2
−
7
f
(
12
)
=
□
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y
=
3
x
−
1
y=3x-1
y
=
3
x
−
1
\newline
Which of the following is the graph of the given system of equations?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
(B)
\newline
(C)
\newline
(D)
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1
2
log
(
x
)
+
2
log
(
3
)
\frac{1}{2}\log(x)+2\log(3)
2
1
lo
g
(
x
)
+
2
lo
g
(
3
)
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The Cinemania theater showed
108
108
108
different movies last year. Of those,
15
15
15
movies were action movies.
\newline
Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?
\newline
Choose
1
1
1
answer:
\newline
(A)
108
93
\frac{108}{93}
93
108
\newline
(B)
93
108
\frac{93}{108}
108
93
\newline
(C)
15
108
\frac{15}{108}
108
15
\newline
(D)
15
93
\frac{15}{93}
93
15
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