Will logarithms help in calculating this product?

[lubo]

Homework Statement

Calculate the value of y in the expression below:

10^y = 10^3.2 × 10^2.4 × 10^-1.8 × 100^0.3 × 100^-0.5

Homework Equations

The Attempt at a Solution

10^y= 10^3.8*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.

 

[LCKurtz]

Homework Statement

Calculate the value of y in the expression below:

10^y = 10^3.2 × 10^2.4 × 10^-1.8 × 100^0.3 × 100^-0.5

Homework Equations

The Attempt at a Solution

10^y= 10^3.8*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.

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

 

[verty]

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

 

[lubo]

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

10^y= 10^3.8*100^-0.2

10^y=10^3.8*(10²)^-0.2

10^y=10^3.4

Now how do I find y? Thanks.

 

[Ray Vickson]

10^y= 10^3.8*100^-0.2

10^y=10^3.8*(10²)^-0.2

10^y=10^3.4

Now how do I find y? Thanks.

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

 

[lubo]

got it!