SOLUTION: Evaluate the following expression : {{{ log(3,36) }}} - {{{ 4log(9,30) }}} + {{{ 16log(81,sqrt(15)) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the following expression : {{{ log(3,36) }}} - {{{ 4log(9,30) }}} + {{{ 16log(81,sqrt(15)) }}}      Log On


   



Question 1034897: Evaluate the following expression :
+log%283%2C36%29+ - +4log%289%2C30%29+ + +16log%2881%2Csqrt%2815%29%29+

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate the following expression :
+log%283%2C36%29+-+4log%289%2C30%29+%2B+16log%2881%2Csqrt%2815%29%29+
----------
Convert to all base 3
eg, log%289%2C30%29+=+log%283%2C30%29%2Flog%283%2C9%29+=+log%283%2C30%29%2F2
--> log%283%2C30%29+=+2log%289%2C30%29
---
And 4log%2881%2Csqrt%2815%29%29 = log%283%2Csqrt%2815%29%29
=============================================
+log%283%2C36%29+-+4log%289%2C30%29+%2B+16log%2881%2Csqrt%2815%29%29+
= +log%283%2C36%29+-+2log%283%2C30%29+%2B+4log%283%2Csqrt%2815%29%29+
= +log%283%2C36%29+-+2log%283%2C30%29+%2B+log%283%2C225%29+
= log%283%2C36%2A225%2F900%29
= 2