# Homework Help: Logarthmic problem!

1. Feb 18, 2009

### lucky_star

Hi, I have a log problem. Can anyone please check if I did it correctly!?

1. The problem statement, all variables and given/known data
Evaluate the following using the laws of logarithms.
These should be done without a calculator).

[log(5)+log(2)] / log2(cubic root of 10)
= log(5*2) / log2 (10)1/3
= log(10) / 1/3*log2(10)
= 3 / log2(10)

Is this simplified correctly? Can we simplify more?

2. Feb 18, 2009

### symbolipoint

Good.

3. Feb 18, 2009

### lucky_star

Thank you!

4. Feb 18, 2009

### symbolipoint

Know this: Your notation is faulty near the end of your steps.

This, "= log(10) / 1/3*log2(10)" is not what you meant.
You really meant and should have written, log2(10)/(1/3)*log2(10)

5. Feb 19, 2009

### HallsofIvy

That is because 1/ab is normally read as 1/(ab), not as (1/a) b.

6. Feb 19, 2009

### lucky_star

Yes, that what I meant symbolipoint. Thank you everybody! I need to pay more attention on how I write it properly.
Sincerely,