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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):
\[\log_a(1)=0 \text{ as long as } a>0\]
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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 :)
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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)
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myininaya (myininaya):
well hint: 20/2=10
use a division property for log