A community for students.
Here's the question you clicked on:
 0 viewing
pratu043
 2 years ago
Can someone please explain how to solve a log equation with an example.
pratu043
 2 years ago
Can someone please explain how to solve a log equation with an example.

This Question is Closed

dpaInc
 2 years ago
Best ResponseYou've already chosen the best response.0how 'bout u pick an example....

dpaInc
 2 years ago
Best ResponseYou've already chosen the best response.0otherwise i'll choose the easiest...:)

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1OK ... \[5^{x  3} . 3^{2x8} = 225\]

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1How to solve this using log? I'm new so I have no idea.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0welcome to logarithms!

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3I guess you can solve this without using Logs..

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1But I want to know how to do it with log.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Okay then all here will explain you how to do this...

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.015^(x3)+(2x8)=225 now we take ln (3x11)15= ln225

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1What is In? And how did you get 15^(x3)+(2x8)=225?

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0by multi 3 into 5 to get 15 and the exponent it's added

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1But how can you just multiply the base and add the exponents?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Use the following formulas of Logs: \[\large Log(a \times b) = Log(a) + Log(b)\] \[\large Log(a)^b = b.Log(a)\]

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0before we take the logarithem

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0it's from exponent experepties

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Why did you delete that @dpaInc?

dpaInc
 2 years ago
Best ResponseYou've already chosen the best response.0because i don't wanna take away from these guys awesome explanations....:)

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3See, take Log both the sides you will get: \[\large Log(5^{x3}.3^{2x8}) = Log(225)\] Now use the formulas I have written above..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Use the first formula only...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1\[\log(5^{x3}) . \log(3^{2x8}) = \log 225 \]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Now Check my first formula carefully...

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0@pratu043 trust take my answer

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0like what waterineyes did now

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1That's what I've done here right @waterineyes?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3I give you an example: \[\large Log(2 \times 3) = Log(2) + Log(3)\] Go by this procedure...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1I've already done that. So now we should use the second one?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3You have done it wrongly my friend...

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3See check the formula.. After formula the result will be in sum form and your result is not in sum form.. Is there any + sign in your result???

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Oops. \[\log(5^{x3}) + \log(3^{2x8}) = \log225\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Yes now you are right... Now 225 is square of what number???

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3So can you write 225 as \(15^2\) on right hand side.?? If yes then do it..

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1\[\log(5^{x3}) + \log(3^{2x8}) = \log15^{2}\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Now use the power rule of Logarithms that is the Second Formula that I have given above.. Can you use that??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3I give you an example of that too: \[\large Log(x)^4 = 4.Log(x)\]

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1\[(x3)\log5 + (2x8)\log3 = 2\log15\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Can you write 15 as 3*5??

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. \[(x3)\log5 + (2x8)\log3 = 2\log(5 * 3)\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Then use it and use the first formula again on right hand side...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1\[(x3)\log5 + (2x8)\log3 = 2\log5 + 2\log3\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Now what you have to do is to compare the coefficients of \(Log3\) and \(Log5\) both the sides can you do that??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Tell me the coefficient of Log3 on Left hand side and right hand side...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1On LHS its 2x  8 and on RHS its 2.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Just equate them and find x from it..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Similarly equate the coefficients of log5 and then also find x you will get the same x in both the case...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1\[(2x8)\log3 = 2\log3\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3I said to equate the coefficients buddy.. Coefficients are 2x  8 and 2.. you should equate this only...

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1So you should just do 2x8 = 2?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3See, if : \[\large xlog3 = ylog3\] implies x = y. Getting??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Yes you have found x = 5 that is absolutely right...

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Now equate the coefficients of log5..

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1x  3 = 2 x = 2 + 3 = 5

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.3Yes got the same value of x so you are right.. If anyhow x values are coming different then either question is wrong or your solution is wrong.. Getting??
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.