SOLUTION: What's the logarithmic form of? 4^-2=1/6

Question 448012: What's the logarithmic form of?
4^-2=1/6
Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the idea that can be written as to get

becomes
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What's the logarithmic form of?
4^-2=1/6
..
4^-2=1/6
This given equation is not correct. 4^-2=1/4^2=1/16
I will answer the question assuming the correct equation is 4^-2=1/16
What you see here is the exponential form of a logarithm, which in effect says: The base(4), raised to the logarithm of the number(-2), is equal to the number(1/16).
..
So, in logarithm form:
logarithm of (1/16) to the base (4) is equal to -2
or log4(1/16)=-2
RELATED QUESTIONS
What is the logarithmic form of f =... (answered by Alan3354)
2^6=64 what is the logarithmic form (answered by ewatrrr)
what is the logarithmic form of... (answered by scott8148)
what is the logarithmic form of 4^3=64? (answered by richard1234)
write the equation in Logarithmic form. 1. 3^6=729 2.... (answered by drk)
what is the equation in logarithmic form for 16=(1/4)-2? (answered by Theo)
logarithmic form... (answered by fractalier)
Write the equation in logarithmic form. {{{ 6^4 = 1296... (answered by stanbon)
Write the equation in logarithmic form.... (answered by nerdybill)