Homework Help: Algebra-Reiny please explain this

Posted by Anna on Monday, December 13, 2010 at 10:31pm.

Hi Reiny, I posted this problem earlier and you responded but I don't get the reasoning-
The problem was -2log8(x+1) = -8
you said multiply by -2
and then you put log8(x+1)=4(wasn't that dividing by -2)
log8(x+1)^2 = 8 (how did you get to the power of 2 and =4 became =8
x+1 = 8^4
x= 4095

Thank you

Algebra-Reiny please explain this - Reiny, Monday, December 13, 2010 at 10:43pm
Of course I should have said divide by -2

I started by putting the 2 as an exponent, but then changed my mind.
I forgot to delete the line log8(x+1)^2 = 8 from that approach

here is the simple solution

-2log8(x+1) = -8
first of all, divide be -2
log8(x+1) = 4
(x+1) = 8^4 , by definition of logs
x+1 = 4096
x = 4095
Algebra-Reiny please explain this - Anna, Monday, December 13, 2010 at 10:46pm
Reiny, thank you-I get it now
thanks again

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