SOLUTION: If log a=2 and log b=3, what is the numerical value of log{{{ sq rt (a) / b ^ 3}}}?

Algebra ->  Test -> SOLUTION: If log a=2 and log b=3, what is the numerical value of log{{{ sq rt (a) / b ^ 3}}}?      Log On


   

Question 285928: If log a=2 and log b=3, what is the numerical value of log+sq+rt+%28a%29+%2F+b+%5E+3?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If log a=2 and log b=3, what is the numerical value of log%28sqrt%28a%29%2F+b%5E3%29?
:
We know that if:
log a=2; then a=100
and
log b=3; then b=1000
:
Write it:
log%28sqrt%28100%29%2F1000%5E3%29 = log10%2F1000%5E3%29 = -8

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If log a=2 and log b=3, what is the numerical value of log+sq+rt+%28a%29+%2F+b+%5E+3?
= log%28%28sqrt%282%29%2F27%29%29%29
=~ -1.280849