- #1
AbsoluteZer0
- 125
- 1
Homework Statement
Write as a single logarithm:Homework Equations
Logarithm Laws:
[itex]log_a(xy) = log_a(x) + log_a(y)[/itex]
[itex]log_a(\frac{x}{y}) = log_a(x) - log_a(y)[/itex]
___________
Problem Set:
[itex]log_{10}A + log_{10}B - log_{10}C[/itex]
[itex]\frac{1}{2}logX - 2log4[/itex]
[itex]2logN + 3logX[/itex]
The Attempt at a Solution
I simplified the first question to [itex]log_{10}(\frac{AB}{C})[/itex] Am I correct?
I wasn't sure about how to approach the second question. I multiplied [itex]\frac{1}{2}[/itex] by [itex]X[/itex] and [itex]2[/itex] by [itex]4[/itex] and simplified as follows:
[itex]log_{10}{\frac{1}{2}X} - log_{10}8 [/itex]
to get [itex]log_{10}(\frac{0.5x}{8})[/itex]
I'm not sure if this is correct though.
If it is wrong, how would I solve it correctly?
For the third problem, I solved it to:
[itex]log_{10}[ (2n)(3x) ][/itex]
Thanks,