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Suppose $a\neq 0$. Compute $\log_{8a} b$ in terms of $a$ and $b$.

 May 23, 2024
 #1
avatar+129514 
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\($\log_{8a} b$ \)

 

Let this =  x

 

In exponential form

 

(8a)^x  =  b         take the log of both sides

 

log (8a)^x  =  log b      and we  can  write

 

x * log (8a)  = log b

 

x [ log 8 + log a ] = log b

 

x =     [ log b ] / [ log 8  + log a ]

 

cool cool cool

 May 23, 2024

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