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Examples on Log rules:
Example: Calculate (1/3)log10 2.
Solution: logb n√A = logb A1/n = (1/n)logb A
(1/3)log10 2
= log10 3√2
= log10 1.259
= 0.1003
Example: Calculate log10 1.
Solution:
Rule 6. logb 1 = 0
log10 1 = 0
Example: Calculate -log10 2.
Rule 7: logb (1/A) = -logbA
-log10 2
= log10 (1/2)
= -log10 0.5
= -0.3010
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we know that log1 to any base =0 take antilog threfore a 0 =1
13+13
Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.
3.6Find the general solution of the differential equation Y" + 4y = Sec2 2x
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