Question 1012144

Without using calculator or tables ,find the value of log3.6 given that log2 equer to 0.3010,log3 equer to 0.4771 and log5 equer to 0.6990
<pre>Using the given log values, we can rewrite log 3.6 as: {{{log (18/5)}}}
{{{log (18/5)}}} = log 18 – log 5 -----> log 9 * 2 - log 5 -----> {{{log ((3^2 * 2)) - log 5}}} -----> {{{log 3^2 + log 2 - log 5}}}
2 log 3  + log 2 – log 5
2(.4771) + .301 - .699
.9542 + .301 - .699
1.2552 - .699 = {{{highlight_green(.5562)}}}