SOLUTION: Given log3 a = c and log3 b=2c, then solve for a SOLUTION take the base for common logarithms as 10 rewrite each in index notation i.e 10^c = 3a, and 10^(2c)= 3b let y= 10^c

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given log3 a = c and log3 b=2c, then solve for a SOLUTION take the base for common logarithms as 10 rewrite each in index notation i.e 10^c = 3a, and 10^(2c)= 3b let y= 10^c      Log On


   

Question 1104654: Given log3 a = c and log3 b=2c, then solve for a
SOLUTION
take the base for common logarithms as 10
rewrite each in index notation i.e
10^c = 3a, and 10^(2c)= 3b
let y= 10^c such that y=3a and y^2= 3b
this implies that 9a^2=3b
therefore a^2=3b/9
a=(b/3)^0.5

Answer by owandera(2) About Me  (Show Source):
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Given log3 a = c and log3 b=2c, then solve for a
SOLUTION
take the base for common logarithms as 10
rewrite each in index notation i.e
10^c = 3a, and 10^(2c)= 3b
let y= 10^c such that y=3a and y^2= 3b
this implies that (3a)^2=3b
therefore a^2=3b/9
a=(b/3)^0.5