Question

let log A=3; log C=2; log D=5
b b b

what is the value of log base b of D^2/C^3A?
A. 1
B. 4.44
C. 19
D. 0.549

Answer 1

First of all, using parentheses would make it easier for your readers to grasp exactly what you mean. Instead of D^2/c^3a, I'd write the following for clarity: D^2/(A*C^3), or, better yet, \[\frac{ D ^{2} }{ AC ^{3} }.\]

Applying the appropriate rules of logs,

\[\log _{b}\left( \frac{ D ^{2} }{ AC ^{3} } \right)=\log _{b}D ^{2}-\log _{b}(AC ^{3}).\]

Can you finish this problem? If not, what do you need to know in order to finish it?

Answer 2

i think i can finish it thank you

Answer 3

You're very welcome, Katie. Happy New Year!

Answer 4

Happy New Year to you too!