Simplifying Expression using Logarithms

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The discussion focuses on simplifying a logarithmic expression using relevant logarithmic rules. Participants express confusion about applying these rules, particularly in combining logarithmic terms and simplifying fractions. Key logarithmic properties discussed include log(a) + log(b) = log(ab) and log(a) - log(b) = log(a/b). As participants work through the problem, they arrive at different intermediate steps, leading to questions about their calculations. Ultimately, the conversation emphasizes the importance of correctly applying logarithmic properties to achieve a simplified expression.
  • #31
Ok i think i got it now. i got it down to 12 by doing this:

2Logx^2 / 1/3Logx
= 4Logx / 1/3Logx
=4 * 3Logx / Logx
=12Logx / Logx
=12

is all the working out correct? if not can u show me the full question with working, all set out as if it were a test?
 
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  • #32
xX-Cyanide-Xx said:
Ok i think i got it now. i got it down to 12 by doing this:

2Logx^2 / 1/3Logx
= 4Logx / 1/3Logx
=4 * 3Logx / Logx
=12Logx / Logx
=12

is all the working out correct? if not can u show me the full question with working, all set out as if it were a test?
Yes. It is correct.
 
  • #33
cool, but now, back to the first question.

i got up to:
Log(2^4) + Log(16^1/4) + Log(1/4^2)
= Log 16 + Log 4 + Log 0.0625 - Log 1.75
Is this correct?

Then would it go:
Log(16 x 4 x 0.0625) = Log4
= Log(4/1.75)
So y have i got 4/1.75, and jahaddo has 2/1.75??
please help...
 
  • #34
Can someone please help!
why ismy answer 4/1.75 when jahaddo has 2/1.75??

HELP PLEASE!
 
  • #35
16^1/4 = 2, not 4.
 

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