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Logarithmic scales are used when the range of possible values is very wide, such as the intensity of an earthquake or the acidity of a liquid, in order to avoid the use of large numbers.

\[ \large \log_7 35 + \log_7 35 - \log_7 25 = \ ? \]

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**
Manish Dash**

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**
Omkar Kulkarni**

If \( 4 \log_{12} \left(x^9\right) + \log_{12} \left(x^6\right) = 126\), find \(x.\)

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**
Noel Lo**

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**
Paola Ramírez**

Find the smallest number among the following numbers:

(A) \(\log_{2015}2016\)

(B) \(\log_{2016}2017\)

(C) \(\log_{2017}2018\)

(D) \(\log_{2018}2019\)

(E) \(\log_{2019}2020\)

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by
**
Khang Nguyen Thanh**

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