SOLUTION: Find y Y= log base 6 of 1 And Y=log base 64 of 8 I don't understand how to do these . If you can provide explation that would be really helpful even for just one of

Question 1188215: Find y
Y= log base 6 of 1

And
Y=log base 64 of 8
I don't understand how to do these . If you can provide explation that would be really helpful even for just one of them.
Thanks in advance.
Answer by ikleyn(52801) (Show Source): You can put this solution on YOUR website!
.


(a)  Y =  = 0.


     It is BECAUSE   = 1.


     For ANY BASE b > 0  and any real number x > 0,   = 0,    BECAUSE   = 1.




(b)  To calculate  ,  notice that  64^(1/2) = 8 = .


     THREFORE,   = .


     EXPLANATION :    is the DEGREE to raise the number b  (the base), to get the number x.

Solved and explained.

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

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.

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".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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