Question 328873
Find the logarithm using the change-of base formula.Round to the nearest ten-thousandth. {{{log(5,(0.389))}}}
<pre><b>
Change of base formula:

{{{log(GIVEN_BASE,(EXPRESSION))}}}{{{""=""}}}{{{log(NEW_BASE,(EXPRESSION))/log(NEW_BASE,(GIVEN_BASE))}}}

Let the GIVEN BASE be 5 and the NEW BASE be 10 (the calculator's log base).

{{{log(5,(0.389))}}}{{{""=""}}}{{{log(10,(0.389))/log(10,(5))}}}

Then get the calculator and find those logs

{{{log(5,(0.389))}}}{{{""=""}}}{{{log(10,(0.389))/log(10,(5))}}}

{{{log(5,(0.389))}}}{{{""=""}}}{{{(-.4100503987)/.6989700043}}}

{{{log(5,(0.389))}}}{{{""=""}}}{{{-.586649493}}}

Edwin</pre>