Logarithm Addition

Algebra Level 1

Evaluate:

log ( 12 ) + log ( 7 ) = \log { (12) } +\log { (7) }=

No Calculators Allowed!

log ( 12 7 ) \log {(\frac{12}7)} log ( 19 ) \log {(19)} log ( 84 ) \log {(84)} log ( 5 ) \log {(5)}

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1 solution

Stewart Feasby
Oct 11, 2014

Using the following rule: log ( a ) + log ( b ) = log ( a × b ) \log {(a)} + \log (b) = \log {(a\times b)} Therefore, by inputting our values: log ( 12 ) + log ( 7 ) = log ( 84 ) \log {(12)} + \log {(7)} =\boxed {\log {(84)}} This is a vital rule to remember!

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