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How do you expand ${log}_{11} (\frac{11}{y})$ $log_11 (11/y)$ ?

1 Answer

Dec 25, 2015

$1 - {log}_{11} y$ $1-Log_11 y$

Explanation:

$\times {log}_{11} (\frac{11}{y}) = {log}_{11} 11 - {log}_{11} y$ $color(white)xxlog_11 (11/y)=Log_11 11-Log_11 y$
$\times \times \times \times x = 1 - {log}_{11} y$ $color(white)(xxxxxxxxx)=1-Log_11 y$

Because the logarithm of the ratio of two numbers is the difference of the logarithms.

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