SOLUTION: if log3^4 = x and log4^9 = y, find the value of xy.

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Question 1062569: if log3^4 = x and log4^9 = y, find the value of xy.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is written is a nonsense,

but happily I know what you mean: 

     if log%283%2C4%29 = x and log%284%2C9%29 = y, find the value of xy.


The solution is:

1.  log%284%2C9%29 = 2%2Alog%284%2C3%29 = 2%2Flog%283%2C4%29 = 2%2Fx.

2.  Therefore,  xy = log%283%2C4%29.log%284%2C9%29 = x%2A%282%2Fx%29 = 2.

Answer.  The value is 2.


WARNING.   Learn how to write your formulas correctly and accurately in this site.


On logarithms, there is a bunch of lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Solving logarithmic equations
    - Using logarithms to solve real world problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".