#I don't understand how 1 became log10?

98 messages · Page 1 of 1 (latest)

lucid ironBOT
acoustic radish
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<@&286206848099549185>

ashen ivy
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log10 is with base 10 and we know that log base x for x=1 now you could also think about it as 10 to the what equals 10

acoustic radish
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wait but log10 isn't equal to 1?

ashen ivy
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Ok think about it as 10^x=10 what could be x other than 1

acoustic radish
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Sorry got confused

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I dont understand

ashen ivy
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Ok let me send a picture

acoustic radish
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Alr

ashen ivy
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@acoustic radish

acoustic radish
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Let me see

sage jolt
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log(10^x)=x @acoustic radish can you agree with this statement

acoustic radish
# ashen ivy

I know that log with no base has to have base of 10 always,

sage jolt
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Yes

sage jolt
acoustic radish
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Why equal to X?

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@sage jolt

sage jolt
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x represents any number

acoustic radish
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Oh alr

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Yh

sage jolt
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Alright so

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When x=1

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log(10^1)=1 right

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So log(10)=1

acoustic radish
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Okay, but for the problem , since we don't have to write the base of log because we already know it's 10, when not become log^1?

sage jolt
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When not become log^1

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What does that mean?

acoustic radish
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Like both side need has same base, so both of them log , the right side has already a log , but if we try to add a log to the other side, it should become log^1, so same base give (x+4)=1 which cancel out the logs

sage jolt
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Yea

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That's what they're tryna do

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So x+4=10

acoustic radish
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why not x+4=1 instead of 10?

sage jolt
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Because log(x+4)=log(10)

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Like if log(x)=1 that doesn't mean x=1

acoustic radish
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Okay , so if I want to add a log to any number (x)

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what would happen first?

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ex, I try to add to other side

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let say log(x+4)= 4

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@sage jolt

sage jolt
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log(x+4)=log(10^4)

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x+4=10^4

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Another way you can see it is that

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log(x+4)=4 means that you need to raise 10 to the power of 4 to get the value of x+4

acoustic radish
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but why you have to show the log 10 if we already know that log (base form) is 10

sage jolt
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So x+4=10^4

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Give me a second

acoustic radish
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No problem

sage jolt
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So uh

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log(10^4)=4 correct

acoustic radish
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basically, do I have to show the log 10?

sage jolt
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no

acoustic radish
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Oh

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Okay

sage jolt
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This has nothing to do with

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Showing the bases

acoustic radish
sage jolt
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Wait

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I'll try this one more time ig

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Let's say

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Where log refers to log base 10

acoustic radish
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Sorry to bother you with these stupid question, I know you're exhausted

sage jolt
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log(x) = 3

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This means that

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x=10^3

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It's nothing I can explain

acoustic radish
sage jolt
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The function is just defined like this

sage jolt
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Does this make sense to you

acoustic radish
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Yes

sage jolt
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Oh alright yea

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Just use that method for questions like tbh

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log(x+4)=1
x+4=10^1

acoustic radish
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I think I have to practice for these type of problem

sage jolt
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The method your teacher used here is the fact log is a one to one function

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So log(x) = log(y) always means x=y

acoustic radish
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Yh

sage jolt
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This isn't the case for all functions

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But is the case for log

acoustic radish
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I see

sage jolt
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Both sides are just converted to log functions

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So their arguments can be equated

acoustic radish
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Yh so then you can solve for x or whatever

sage jolt
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Yea

acoustic radish
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Are you doing these this year or you did them before?

sage jolt
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This year ig

acoustic radish
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I got that fear with math, because last year I didn't had a good semester with math, so I'm trying to catch up this year. I got it since grade 10, I was doing good on elementary. I don't want have the feeling of hating math

sage jolt
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Have you learnt change of base yet

acoustic radish
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We are at the end of the course, it's the last unit

acoustic radish
sage jolt
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Welp then uh you should be good

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Just practice ig

acoustic radish
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Yh

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Thanks for help btw, including @ashen ivy

sage jolt
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Np

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Cya

acoustic radish
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U as well