How do you evaluate log_18(9) + log_18(2)log18(9)+log18(2)?

2 Answers
Oct 29, 2016

11

Explanation:

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

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(logx+logy=log(xy)" and " log_b b=1)color(white)(2/2)|)))

rArrlog_(18)9+log_(18)2=log_(18)18=1

Oct 29, 2016

The answer is log_18 (9)+log_18 (2)=1.

Explanation:

log_18 (9)+log_18 (2)
=log_18 (9*2)
=log_18 (18)
=log18/log18
=1. (answer).