# Will logarithms help in calculating this product?

1. Jun 4, 2014

### lubo

1. The problem statement, all variables and given/known data

Calculate the value of y in the expression below:

10y = 103.2 × 102.4 × 10-1.8 × 1000.3 × 100-0.5

2. Relevant equations

3. The attempt at a solution

10y= 103.8*100-0.2

Don't know how to move on from here as have no other examples like it? I am thinking I can use logs, however it is not mentioned in the question.

Last edited by a moderator: Jun 5, 2014
2. Jun 4, 2014

### LCKurtz

Write $100$ as $10^2$ to simplify. No need for logs.

3. Jun 5, 2014

### verty

If you want to use logs, take the base-10 log of each side.

4. Jun 5, 2014

### lubo

10y= 103.8*100-0.2

10y=103.8*(102)-0.2

10y=103.4

Now how do I find y? Thanks.

5. Jun 5, 2014

### Ray Vickson

You cannot possibly be serious. Just look at the equation!

6. Jun 5, 2014

got it!