Logarithms

/Tag: Logarithms
28 11, 2016

Dividing Logs

By |2016-11-28T09:32:05+10:00November 28th, 2016|Tags: , , , , |0 Comments

Dividing Logs worked examples Simplify $$\frac{\log16}{\log8}$$.  $$=\frac{\log2^4}{\log2^3}$$ there is no log law to allow us to directly divide logs, so we are going to rewrite them with the same numbers as powers consider what both 16 and 8 can be written to the power of 16 = 24 and [...]

25 10, 2016

Change Of Base

By |2016-10-25T10:22:13+10:00October 25th, 2016|Tags: , , , , |0 Comments

Change Of Base $$\log_ab=\frac{\log a}{\log b}$$ worked examples Change to log base 10: log3 6 and calculate to 4 decimal places. $$\log_36=\frac{\log 6}{\log 3}$$ it is convenient for calculating to have the log in base 10, as that is the log button on a calculator. By using the change [...]

23 10, 2016

Mixed Log Laws

By |2016-11-28T09:46:58+10:00October 23rd, 2016|Tags: , , , |0 Comments

Mixed Log Laws worked examples Simplify 4log 2 + log 3.  = log 24 + log 3 since alog b = log ba, we rewrite the 4log 2 as log 24 = log (16 × 3) 24 = 16 and the log law for addition is log a + [...]

3 08, 2016

Simpson’s Rule Logs

By |2016-11-03T09:25:27+10:00August 3rd, 2016|Tags: , , , , , |0 Comments

Simpson's Rule Logs worked examples Use Simpson's Rule with three function values to obtain the approximation $$\int\limits_1^7 {\left( {\frac{{x - 1}}{6}} \right)} \ln \,x\,\,dx \approx \ln \,\,112$$.  $$h=\frac{7-1}{2}$$ h = 3 values will be 1, 4, 7  find the 3 function values: $$h=\frac{b-a}{n}$$  where n = number of sub [...]

Show Buttons
Hide Buttons