SOLUTION: log base 4 of y + log base2 of y =12 solve for y

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Question 1205633: log base 4 of y + log base2 of y =12
solve for y
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
log base 4 of y + log base2 of y =12
solve for y
~~~~~~~~~~~~~~~~~~~~ 

Your starting equation is

     +  = 12.    (1)


Use the base change formula

     =  =  = .


Therefore, equation (1) takes the form

     +  = 12

     = 12

     = 12/3 = 4

    y =  = 256.


ANSWER.  y = 256.

Solved.

-------------------

On logarithms and their properties,  see these introductory lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Evaluate logarithms without using a calculator
    - Simplifying expressions with logarithms
    - Solving logarithmic equations
in this site.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

.......change to base















....simplify












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