Laws of Logarithms: Definition & Examples

[Jouster]

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

 

[PeroK]

There must be something missing. As stated the question makes little sense.

 

[Jouster]

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?

 

[PeroK]

This is what it says in the textbook, maybe it's a mistake in the textbook?

Why worry? Move on.

 

[Office_Shredder]

This looks like someone tried to get gpt-3 to make a math question. I agree you should skip it

 

[martinbn]

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.

 

[MidgetDwarf]

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.

 

[pasmith]

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.

 

[nuuskur]

Too many variables, this is nonsense. We could do some algebraic manipulation, but it reveals nothing.