Logs
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True or False Logarithm have units.
• False. • Logarithms DO NOT have units BUT, you should include ORIGINAL units for what you did “log” to in the table.
2^n = 50 How would I work out what n is using log?
log both sides of equation. nlog (2) = log (50) log(50)/ log (2) = n n = 5.64
I logged time in seconds to give log values. How would I display these units in a table?
Log (time/s)
When do we use log scales?
• When values obtained from experiment have VERY LARGE RANGE. • Allows us to compare VERY LARGE values to very small values easily.
Why would we use log scaled on graphs?
• Range = too large. • Important so you can read both small + large values on graph. • Graph would be v. difficult to read without log.
What is issue with not using log graphs when there is a LARGE range of data?
• Makes very small values look like they are at 0 on graph.
I have a log value of 7.55 for number of bacteria at an antibiotic conc. of 25%. Work out the NUMBER of bacteria that grew at this concentration.
10⁷⋅⁵⁵ = 35481338.92