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Mathematics 19 Online
OpenStudy (anonymous):

how do I log 4^1

OpenStudy (anonymous):

What base?

OpenStudy (anonymous):

I do not know All I know is that I am supposed to log do you know how I log a problem?

OpenStudy (anonymous):

isn't just log assumed to be base on 10?

OpenStudy (anonymous):

True, I just thought he might be saying log base-4 of 1

OpenStudy (anonymous):

so logging 4^1 would give me 40 correct?

OpenStudy (anonymous):

Not quite...can you tell me in your own words what a log is supposed to be?

OpenStudy (anonymous):

a small four with what looks like a big one....

OpenStudy (anonymous):

loga^b=alogb

OpenStudy (anonymous):

sorry bloga

OpenStudy (anonymous):

Do you mean \[\log_{4} 4\]

OpenStudy (anonymous):

the small number in my problem is 4 and the big number is 1

OpenStudy (anonymous):

oh okay - so it is log base 4

OpenStudy (anonymous):

The log of 1 in any base is 0.

OpenStudy (anonymous):

if the log in any base is 0 would the answer be 4?

OpenStudy (anonymous):

Because \[b^x = 1\] has only x=0 for a solution.

OpenStudy (anonymous):

No. I'm saying \[log_b1 = 0 \ \forall b \not \in \{0,1\}\]

OpenStudy (anonymous):

So therefore \[log_41 = 0\]

OpenStudy (anonymous):

thank u....

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