Question

log to the base 0.01 1000 + log to the base 0.1 0.0001 is??​

Answer 1

Step-by-step explanation:

$log_{0.01}(1000) + log_{0.1}(0.0001)$

USING BASE CHANGE PROPERTY AND TAKING BASE 10.

$= \frac{ log_{10}( {10}^{3} ) }{ log_{10}( {10}^{ - 2} ) } + \frac{ log_{10}( {10}^{ - 4} ) }{ log_{10}( {10}^{ - 1} ) }$

$= \frac{3}{ - 2} + \frac{ - 4}{ - 1} \\ = \frac{ - 3}{2} + 4 \\ = \frac{5}{2} \\ = 2.5$

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