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miskamm [114]
3 years ago
8

Write the equation in logarithmic form. (1/3)^3=1/27

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

\log_{\frac{1}{3}} (\frac{1}{27})=3

Step-by-step explanation:

The given equation is

(\frac{1}{3})^3=\frac{1}{27}

We need to write the equation in logarithmic form.

Taking log on both sides.

\log (\frac{1}{3})^3=\log (\frac{1}{27})

Using the property of logarithm we get

3\log (\frac{1}{3})=\log (\frac{1}{27})           [\because \log a^b=b\log a]

Divide both sides by \log (\frac{1}{3}).

3=\dfrac{\log (\frac{1}{27})}{\log (\frac{1}{3})}

Using the property of logarithm we get

3=\log_{\frac{1}{3}} (\frac{1}{27})          [\because \log_x y =\dfrac{\log_ay}{\log_ax}]

Therefore, the logarithmic form of given equation is \log_{\frac{1}{3}} (\frac{1}{27})=3.

juin [17]3 years ago
6 0

Answer: Log1/3(1/27)=3

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