Can you condense #6\log _ { 7} u + 2\log _ { 7} v#?

2 Answers
Shwetank Mauria
Apr 17, 2017

#6log_7u+2log_7v=log_7 u^6v^2#

Explanation:

#6log_7u+2log_7v#

= #log_7 u^6+log_7 v^2#

= #log_7 u^6v^2#

Jim G.
Apr 17, 2017

#log_7u^6v^2#

Explanation:

#"Using the following " color(blue)"laws of logarithms"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(nlogxhArrlogx^n" and " logx+logyhArrlogxy)color(white)(2/2)|)))#

#rArr6log_7u+2log_7v#

#=log_7u^6+log_7v^2#

#=log_7u^6v^2#

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