- #1
Fairy111
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- 0
Homework Statement
If you have a.log(b)+ c.log(d), is that equal to,
(a+c)log(bd) or (a.c)log(bd) ?
Combining Logs: a.log(b)+ c.log(d)?
- Thread starter Fairy111
- Start date
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The expression a.log(b) + c.log(d) simplifies to log(b^a * d^c) rather than (a+c)log(bd) or (a.c)log(bd). The properties of logarithms indicate that a.log(b) can be rewritten as log(b^a) and that log(a) + log(b) equals log(ab). Therefore, combining these properties leads to the correct result. The discussion confirms the accurate application of logarithmic rules. Understanding these principles is essential for solving similar logarithmic expressions.
If you have a.log(b)+ c.log(d), is that equal to,
(a+c)log(bd) or (a.c)log(bd) ?
- #2
Cyosis
Homework Helper
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You know that a \log b=\log b^a and you also know that \log a+\log b=\log ab. Try to apply these to your expression, to find the correct results (both the results you listed are incorrect).
Last edited:
- #3
Fairy111
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So it would be log(b^a . d^c) ?
- #4
tiny-tim
Science Advisor
Homework Helper
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Hi Fairy111! 
(try using the X2 tag just above the Reply box
)
Yup!
(try using the X2 tag just above the Reply box
)Fairy111 said:
Yup!
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