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Mathematics 8 Online
OpenStudy (dtan5457):

log question

OpenStudy (dtan5457):

\[\frac{ \log_{b}a }{ \log_{c}a }=\frac{ 19 }{ 99 }, then \frac{ b }{ c }=c^k\] compute for k exactly

myininaya (myininaya):

is that last equation right?

myininaya (myininaya):

is one of those c's suppose to be a?

OpenStudy (dtan5457):

no

ganeshie8 (ganeshie8):

k = 80/19 ?

ganeshie8 (ganeshie8):

\[\dfrac{b}{c} = c^k \implies k = \log_c\frac{b}{c} = \log_c b - 1\]

OpenStudy (anonymous):

could be \[\log_b(a)=\frac{\log(a)}{\log(b)}\]

OpenStudy (triciaal):

|dw:1458004184651:dw|

OpenStudy (triciaal):

|dw:1458004251386:dw|

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