Expand: \log\frac{x}{y^4\sqrt[3]{z}}

\log x-4\log y-\frac{1}{3}\log z

How can you tell if an equation is in logarithmic form?

There is a log in the equation.

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S22 Logarithm Unit Review

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Questions 20

Answers

1
What is our next unit?
Statistics
Logarithms
Trigonometry
ACT Prep
2
A car is bought for $19000. The value of the car depreciates 11.25% per year. What will the value of the car be in 5 yr?
y=19000\left(1+.1125\right)^5
19000=a\left(1+.1125\right)^5
19000=a\left(1-.1125\right)^5
y=19000\left(1+.1125\right)^5
3
Solve for x: \log_73+\log_7x=\log_733
x=33
x=3
x=30
x=11
4
A town has a population of 17,000 and grows at 3% every year. What will be the population after 10 years?
y=17000\left(1.03\right)^{10}
17000=a\left(1.03\right)^{10}
y=17000\left(.97\right)^{10}
y=17000\left(.03\right)^{10}
5
What unit are we taking a test on tomorrow?
Trigonometry
Functions
Logarithms
Algebra
6
Expand: \log\frac{y^5x}{z}
5\log y-\log x-\log z
5\log y+\log x-\log z
\log y^5+\log x-\log z
5\log y+\log x+\log z
7
Rewrite in logarithmic form: 8^x=1000
\log_8x=1000
\log_81000=x
\log_{1000}8=x
\log_x8=1000
8
Expand: \log\frac{x}{y^4\sqrt[3]{z}}
\log x+4\log y-\frac{1}{3}\log z
\log x-4\log y-\frac{1}{3}\log z
\log x-4\log y-3\log z
\log x+4\log y-3\log z
9
How can you tell if an equation is in logarithmic form?
There is a log in the equation.
X is in the exponent.
10
Simplify: \left(g^3\right)^5
g^{15}
g^{-2}
g^8
g^{\frac{3}{5}}
11
Condense: 3\log x+12\log y
\log x^3y^{12}
\log_3x\log_{12}y
\log\frac{x^3}{y^{12}}
\log3^x12^y
12
How can you tell if an equation is in exponential form?
There is a log in the equation.
X is in the exponent.
13
Rewrite in exponential form: \log_54=x+2
4^{x+2}=5
\left(x+2\right)^5=4
\left(x+2\right)^4=5
5^{x+2}=4
14
Simplify: \frac{2\left(x^2\right)^{-5}}{6yx^{-3}}
\frac{1}{3yx^7}
\frac{1}{3yx^{-7}}
\frac{2x^{-7}}{6y}
\frac{2}{6yx^7}
15
Solve for x: 7^{5x+1}=7^{36}
x=5
x=36
x=7
x=35
16
Solve for x: \log_2100=\log_22x
x=98
x=100
x=2
x=50
17
Simplify: k^4\cdot k^{-8}
k^4
\frac{1}{k^{-4}}
\frac{1}{k^4}
k^{-4}
18
Expand: \log y^3x^2
\log y^3+\log x^2
3\log y-2\log x
3\log y+2\log x
\log x-\log y
19
Condense: 6\log_3d-3\log_3k
\log_3d^6k^3
\log d^6k^3
\log_3\frac{d^6}{k^3}
\log\frac{d^6}{k^3}
20
Simplify: \frac{v^{20}}{v^{14}}
v^{-6}
\frac{1}{v^{-6}}
v^6
\frac{1}{v^6}

S22 Logarithm Unit Review Flashcards | StudBud

S22 Logarithm Unit Review

20 termsStudBud Administration63 plays

Imported from external platform

Flashcards20 cardsFPractice quizPHost liveL

Questions 20

Answers

1
What is our next unit?
Statistics
Logarithms
Trigonometry
ACT Prep
2
A car is bought for $19000. The value of the car depreciates 11.25% per year. What will the value of the car be in 5 yr?
y=19000\left(1+.1125\right)^5
19000=a\left(1+.1125\right)^5
19000=a\left(1-.1125\right)^5
y=19000\left(1+.1125\right)^5
3
Solve for x: \log_73+\log_7x=\log_733
x=33
x=3
x=30
x=11
4
A town has a population of 17,000 and grows at 3% every year. What will be the population after 10 years?
y=17000\left(1.03\right)^{10}
17000=a\left(1.03\right)^{10}
y=17000\left(.97\right)^{10}
y=17000\left(.03\right)^{10}
5
What unit are we taking a test on tomorrow?
Trigonometry
Functions
Logarithms
Algebra
6
Expand: \log\frac{y^5x}{z}
5\log y-\log x-\log z
5\log y+\log x-\log z
\log y^5+\log x-\log z
5\log y+\log x+\log z
7
Rewrite in logarithmic form: 8^x=1000
\log_8x=1000
\log_81000=x
\log_{1000}8=x
\log_x8=1000
8
Expand: \log\frac{x}{y^4\sqrt[3]{z}}
\log x+4\log y-\frac{1}{3}\log z
\log x-4\log y-\frac{1}{3}\log z
\log x-4\log y-3\log z
\log x+4\log y-3\log z
9
How can you tell if an equation is in logarithmic form?
There is a log in the equation.
X is in the exponent.
10
Simplify: \left(g^3\right)^5
g^{15}
g^{-2}
g^8
g^{\frac{3}{5}}
11
Condense: 3\log x+12\log y
\log x^3y^{12}
\log_3x\log_{12}y
\log\frac{x^3}{y^{12}}
\log3^x12^y
12
How can you tell if an equation is in exponential form?
There is a log in the equation.
X is in the exponent.
13
Rewrite in exponential form: \log_54=x+2
4^{x+2}=5
\left(x+2\right)^5=4
\left(x+2\right)^4=5
5^{x+2}=4
14
Simplify: \frac{2\left(x^2\right)^{-5}}{6yx^{-3}}
\frac{1}{3yx^7}
\frac{1}{3yx^{-7}}
\frac{2x^{-7}}{6y}
\frac{2}{6yx^7}
15
Solve for x: 7^{5x+1}=7^{36}
x=5
x=36
x=7
x=35
16
Solve for x: \log_2100=\log_22x
x=98
x=100
x=2
x=50
17
Simplify: k^4\cdot k^{-8}
k^4
\frac{1}{k^{-4}}
\frac{1}{k^4}
k^{-4}
18
Expand: \log y^3x^2
\log y^3+\log x^2
3\log y-2\log x
3\log y+2\log x
\log x-\log y
19
Condense: 6\log_3d-3\log_3k
\log_3d^6k^3
\log d^6k^3
\log_3\frac{d^6}{k^3}
\log\frac{d^6}{k^3}
20
Simplify: \frac{v^{20}}{v^{14}}
v^{-6}
\frac{1}{v^{-6}}
v^6
\frac{1}{v^6}