How do you evaluate $log 1500$ ?

Question

6924 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-09T20:53:44

$2log2+log3+3log5$

Well we have

$log1500=log(15*100)=log15+log100$

$=log(3*5)+log10^2$

$=log3+log5+2log10$

$=2log10+log3+log5$

$=2log(2*5)+log3+log5$

$=2log2+log3+3log5$

Answer 2 · 2015-09-10T16:08:47

If $log$ here is common log (base 10), then $log 1500 = 2+log15$

If $log 1500$ means $log_10 1500$ , then we have:

$log 1500 = log(100*15)$

$= log100 + log 15$

$= log10^2 + log 15$

$= 2 + log 15$

If you are using tables of logarithms, you'll need scientific notation:

$log 1500 = log(1.5 * 10^3)$

$= 3 + log(1.5)$

$= 3 + 0.1761$ (from table)

$= 3.1761$

How do you evaluate log 1500log 1500?