Show that log(x+2)(x-3) is the same as log(x+2)+log(x-3)
Favorites|Homepage
Subscriptions | sitemap
HOME > > Show that log(x+2)(x-3) is the same as log(x+2)+log(x-3)

Show that log(x+2)(x-3) is the same as log(x+2)+log(x-3)

[From: ] [author: ] [Date: 12-05-20] [Hit: ]
......
I don't know how they're the same, would someone please help and please show all of your working out. Thank you in advance.

-
log[(x + 2)(x - 3)]

First, let x + 2 = a and x - 3 = b.

log(ab)

But a = 10^(loga) and b = 10^(logb)

= log[10^loga*10^logb]

By exponent laws:

= log[10^(loga + logb)]

And since log and 10^ are inverse functions:

= loga + logb

So:

= log(x + 2) + log(x - 3)
1
keywords: as,that,log,Show,same,the,is,Show that log(x+2)(x-3) is the same as log(x+2)+log(x-3)
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .