Laws of Logarithms: Definition & Examples

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Homework Help Overview

The discussion revolves around a problem related to the laws of logarithms, specifically focusing on the interpretation of a question presented in a textbook. Participants express concerns about the clarity and completeness of the problem statement.

Discussion Character

  • Assumption checking, Problem interpretation, Mixed

Approaches and Questions Raised

  • Participants question the validity of the problem as stated, suggesting it may contain errors or omissions. Some express skepticism about the problem's formulation, while others attempt to clarify the requirements for solving it, noting the need for additional equations or information.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the problem. Some have offered hints regarding logarithmic properties without providing direct solutions. There is a general sense of uncertainty about the problem's setup.

Contextual Notes

Participants mention the possibility of missing information in the problem statement and discuss the implications of having too many variables without sufficient equations to solve for the unknowns.

Jouster
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Homework Statement
How do you solve this problem? Do you use substitution or another method? The two equations don't seem to have any connection to each other
Relevant Equations
Logarithmic simultaneous equation questions
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There must be something missing. As stated the question makes little sense.
 
PeroK said:
There must be something missing. As stated the question makes little sense.
This is what it says in the textbook, maybe it's a mistake in the textbook?
 
Jouster said:
This is what it says in the textbook, maybe it's a mistake in the textbook?
Why worry? Move on.
 
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This looks like someone tried to get gpt-3 to make a math question. I agree you should skip it
 
Jouster said:
This is what it says in the textbook, maybe it's a mistake in the textbook?
Can you take a picture that shows more. May be this is not the whole problem.
 
I believe what they are asking.

Im on my mobile, so sorry for non latek.

Recall Log ab = log a + log b (this is true for any appropriate base, please fill in the restrictions on the base).Without giving out the answer, for (a): we want to break up the log expression so that we only only get log of p base a by itself on the left hand side of the equation. Use the above hint.
 
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You can't really solve for \log_a p and \log_a q if you have only one equation linking the two: \log_a (pq^2) = 20. You need a second equation, and that the question does not provide.
 
Too many variables, this is nonsense. We could do some algebraic manipulation, but it reveals nothing.
 
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