- #1

Rodger

- 4

- 0

**μ = -5 log**is given by

_{10}(d/10)**Δμ = 5 * ( Δd / d*ln(10) )**

**1. The problem, all variables and given/known data**I am to calculate the uncertainty in absolute magnitude (M), which is calculated using an equation involving logs.

The equation for M is: M = m - 5 log

_{10}(d/10) where m and d have associated errors Δm and Δd.

## The Attempt at a Solution

I introduce:

**μ = -5 log**such that

_{10}(d/10)*M = m + μ*

Then I calculate the error in μ whereby:

**Δμ = 5 * ( Δd / d*ln(10) )**

I then calculate the error in M by:

*ΔM*

^{2}= [ Δm^{2}+ Δμ^{2}]Any comments on this would be greatly appreciated as I have 0 confidence in myself when it comes to calculating errors.