Question 1049679
log1/49  ?
{{{log((1/49))}}}
{{{log((1/7^2))}}}
{{{log((7^(-2)))}}}
{{{-2*log((7))}}}-----------You want to know log of 7.  It would be somewhere between log of 5 and log of 8.  You might like to try linear interpolation.


<pre>
    input      |     log of input
               |
               |
----------------------------------------
    5          |          0.7
    7          |         log((7))=y
    8          |          0.9
----------------------------------------
</pre>


y=mx+b
{{{y=((0.9-0.7)/(8-5))x+b}}}
{{{y=(0.2/3)x+b}}}
{{{y=(2/30)x+b}}}
{{{y=x/15+b}}}
-
Pick either of the two points.
{{{b=y-x/15}}}
{{{b=0.9-8/15=9/10-8/15}}}
{{{b=27/30-16/30}}}
{{{b=11/30}}}
{{{highlight(log((x))=x/15+11/30)}}}----------important but not your final answer of {{{log((1/49))}}}.



FINISHING
Input was 7.

{{{log((1/49))}}}
{{{log((7^(-2)))}}}
{{{-2*log((7))}}}
{{{-2(7/15+11/30)}}}
{{{-2(18/30)}}}
{{{-2(3*6)/(6*5)}}}
{{{-2(3/5)}}}
{{{highlight(-6/5)}}}  or {{{highlight(-1&1/5)}}}