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Homework 8.4 & 8.5

Last updated over 3 years ago
9 questions
1

Match the Exponential or Logarithmic expression to their counterparts

Draggable itemCorresponding Item
\log_{11} \frac{1}{121}=-2
11^{-2}=\frac{1}{121}
\log_{16} 256=2
\log_{5} 625=4
324^{\frac{1}{2}}=18
14^{2}=196
\log_{14} 196=2
\log_{324} 18=\frac{1}{2}
5^{4} =625
16^{2}=256
10^{3}=1000
\log 1000=3
2

Match the name of the Logarithmic Properties to their description

Draggable itemCorresponding Item
Inverse Property of Logarithms
\log_{b} 1=0
Natural Logarithm Conversion
\log_{b}b=1
Inverse Base Property of Logarithms
\log_{b}b^{r}=r
Equivalent Exponent Property of Logarithms
\log_{b}\frac{1}{a}=-\log_{b}a
Quotient Property of Logarithms
\log_{\frac{1}{b}}a=-\log_{b}a
Power Property of Logarithms
\log_{b}(x\cdot y)\leftrightarrow \log_{b}x+\log_{b}y
Base Conversion Property of Logarithms
\log_{b}\frac{x}{y}\leftrightarrow\log_{b}x-\log_{b}y
Product Property of Logarithms
\log_{b}x^{r}\leftrightarrow r\cdot\log_{b}x
Identity Property of Logarithms
\log_{a}b\leftrightarrow\frac{\log b}{\log a}
Zero Property of Logarithms
\log_{e}x\leftrightarrow\ln x
1

Choose the correct expansion for the Logarithm:
\log x^{5}

1

Choose the correct expansion for the Logarithm:
\log_{2}(x^{5}\cdot y)^{2}

1

Choose the correct expansion for the Logarithm:
\log \frac{w^{2}}{v^{6}}

1

Choose the correct condesement of the Logarithm
4\log z+4\log x+24\log y

1

Choose the correct condesement of the Logarithm
\frac{\log x}{3}+\frac{\log y}{3}+\frac{\log z}{3}+\frac{\log w}{3}

1

Choose the correct condesement of the Logarithm
5\log u-5\log w-15\log v

1

Solve the following equation for x
\log (2x-2)=\log(7-x)