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Mathematics 9 Online
OpenStudy (anonymous):

k

myininaya (myininaya):

is a the base?

myininaya (myininaya):

is that really find \[\log_a(1)?\] if so you don't need any of the info given just that a>0 of course

myininaya (myininaya):

\[\log_a(1)=\frac{\ln(1)}{\ln(a)}\] and we know ln(1)=0

rishavraj (rishavraj):

@myininaya why to do tht way log 1 = 0 no matter whts the base........

myininaya (myininaya):

\[\log_a(1)=0 \text{ as long as } a>0\]

myininaya (myininaya):

wrote it like that just to make that part more clear if it wasn't already

OpenStudy (anonymous):

@Directrix

myininaya (myininaya):

*also I should also say a is an element of [0,1) U (1,inf) to my above note \[\log_a(9)=\log_a(3^2)=2 \cdot \log_a(3) \\ \text{ so we have } \\ \log_a(9)=2 \cdot \log_a(3) \\ \text{ divide both sides by } 2 \]

OpenStudy (anonymous):

so whats the answer

myininaya (myininaya):

that is the thingy you find by using what I have above for ya :)

OpenStudy (anonymous):

ohh

myininaya (myininaya):

you know what log_a(9) is

myininaya (myininaya):

and to solve for log_a(3) you need to do that last step I asked you to do

OpenStudy (anonymous):

log a 10?

myininaya (myininaya):

oh I thought you were looking for log_a(3)

myininaya (myininaya):

well hint: 20/2=10 use a division property for log

OpenStudy (anonymous):

i get it

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