How do you simplify #3log_6 3 + log_6 8# ?

1 Answer
George C.
Nov 26, 2017

#3 log_6 3 + log_6 8 = 3#

Explanation:

#3 log_6 3 + log_6 8 = 3 log_6 3 + log_6 2^3#

#color(white)(3 log_6 3 + log_6 8) = 3 log_6 3 + 3 log_6 2#

#color(white)(3 log_6 3 + log_6 8) = 3 (log_6 3 + log_6 2)#

#color(white)(3 log_6 3 + log_6 8) = 3 log_6 (3 * 2)#

#color(white)(3 log_6 3 + log_6 8) = 3 log_6 6#

#color(white)(3 log_6 3 + log_6 8) = 3#

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