- #1
MadmanMurray
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Homework Statement
1.) 3logx2y + 2logxy
2.) 4logabc - 2loga2b - 3logbc
Homework Equations
The Attempt at a Solution
I know that 3logx2 is the same as 6logx but I don't know what to do since there's a y there
MadmanMurray said:Can I write logx6y3 as logx6 + logy3 or do I have to get rid of them powers first?
MadmanMurray said:1.) log (x2 + 2) = 2.6
…
I was wondering if I can express it like this 2logx + 2? Can I do that?
jgens said:Careful tiny-tim: log(a) doesn't necessarily refer to the natural logarithm. log(a) commonly refers to the logarithm base 10 as well.
kbaumen said:For example log[itex]_{2}[/itex]8 = 3 ( I don't know why, but using LaTex here shows a subscript as a superscript on my machine.
tiny-tim said:Hi kbaumen!
You have to use "inline" LaTeX (typing "itex" instead of "tex") if you're inserting into a line of text (see just above) …
but it's much better, on this forum, to use the X2 or X2 tags (just above the reply box), especially since any LaTeX takes up a lot of space on the server.
Then x2+ 2= a2.6 where "a" is the base of the logarithm (probably 10 or e).MadmanMurray said:Thanks a lot.
I have 2 more log questions in front of me that are confusing as hell too:
1.) log (x2 + 2) = 2.6
Since there exponentials are to different bases, which cannot be converted to one another, there is no easy way to solve this equation.and
2.) 2x + 1 = 32x - 1
For the first one there I was wondering if I can express it like this 2logx + 2? Can I do that?
I decided to plug in some random numbers and the first one I plugged in (1) happened to work. Since there's no simple way to solve it maybe that's what I was meant to do.HallsofIvy said:Since there exponentials are to different bases, which cannot be converted to one another, there is no easy way to solve this equation.
Log questions are mathematical problems that involve logarithms, which are mathematical functions used to solve exponential equations. Log questions typically ask you to solve for an unknown variable in an exponential equation or to simplify a logarithmic expression.
The purpose of logarithms is to help solve exponential equations and make complex calculations easier. Logarithms allow us to convert multiplication and division into simpler addition and subtraction problems, making it easier to work with large numbers.
To solve a log question, you will need to use the properties and rules of logarithms. First, you will need to rewrite the equation using the properties of logarithms, then solve for the unknown variable. It is important to remember to always check your answer by plugging it back into the original equation.
One common mistake to avoid when solving log questions is forgetting to apply the properties and rules of logarithms correctly. Another mistake is not checking your answer or forgetting to simplify the final answer. It is also important to be aware of any restrictions on the domain of the logarithmic function.
To improve your skills in solving log questions, practice is key. Make sure to understand the properties and rules of logarithms and try solving a variety of log questions. It can also be helpful to seek out additional resources, such as online tutorials or practice problems, to further enhance your understanding and skills.