SOLUTION: How do I write this in logarithimic form? 16^-1/2 = 1/4 Can you show me how to get there?

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Question 729746: How do I write this in logarithimic form? 16^-1/2 = 1/4
Can you show me how to get there?

Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


To do these ask yourself three questions.
1. What is the base? Answer:
2. What is the exponent? Answer:
3. What is the result? Answer:
Now remember this: log means .
So you should write:
.....put in the exponent
....then you should put in the base:
...then you should put in the result:


Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
How do I write this in logarithimic form? 16^-1/2 = 1/4
Given equation is written in exponential form:base(16) raised to log of the number(-1/2)=number(1/4)
In logarithmic form: log16(1/4)=-1/2
This reads: log of (1/4) base 16=-1/2

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