You can put this solution on YOUR website! If log(2) = r, log(5) = s, and log(6) = t,
find log() in terms of r,s, and/or t.
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log()
use a law of logarithms to rewrite that as
log() = log(5) - log(3)
And since log(5) = s, we have
log() = s - log(3)
Now we have to find log(3)
Rewrite write 3 as
log() = s - log()
Put brackets around log()
log() = s - [log()]
Use a rule of logs to write log() as log(6) - log(2)
log() = s - [log(6) - log(2)]
Remove the brackets by changing signs since it is
preceded by a minus sign:
log() = s - log(6) + log(2)
Since we are told that log(6) = t and log(2) = r,
we substitute these and end up with
log() = s - t + r
Edwin
