Question 1062569
.
What is written is a nonsense,


but happily I know what you mean:


<pre>
     if {{{log(3,4)}}} = x and {{{log(4,9)}}} = y, find the value of xy.
</pre>


The solution is:


1.  &nbsp;{{{log(4,9)}}} = {{{2*log(4,3)}}} = {{{2/log(3,4)}}} = {{{2/x}}}.


2.  &nbsp;Therefore,  &nbsp;xy = {{{log(3,4)}}}.{{{log(4,9)}}} = {{{x*(2/x)}}} = 2.


<U>Answer</U>. &nbsp;The value is 2.



<U>WARNING</U>. &nbsp;&nbsp;Learn how to write your formulas correctly and accurately in this site.



On logarithms, there is a bunch of lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/what-is-the-logarithm.lesson>WHAT IS the logarithm</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/Properties-of-the-logarithm.lesson>Properties of the logarithm</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/change-of-base-formula-for-logarithms.lesson>Change of Base Formula for logarithms</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/How-to-solve-logarithmic-equations.lesson>Solving logarithmic equations</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/Using-logarithms-to-solve-real-world-problems.lesson>Using logarithms to solve real world problems</A> 

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Logarithms</U>".