Whats the answer to dis one?helppppppppppppp

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In summary, the conversation discusses logarithms and their properties, specifically the logarithm with base 4. The experts provide a formula for finding the logarithm of a number with a given base, and explain how to find the domain, range, and x-intercept for the logarithm y=logx4. They also clarify that the base of the logarithm can be either 10 or natural log.
  • #1
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whats the answer to dis one?helppppppppppppp!

3log_6 - log_6 12 + log_6 2 = ? (the base is 6)





whats the vertical asymptote, x-intercept, range and domain for this one -
log_x 4
 
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  • #2
Use the basic properties of logarithms:

log_b(xy) = log_b(x) + log_b(y)
log_b(x^y) = y log_b(x)
log_b(x/y) = log_b(x) - log_b(y)
 
  • #3
As for the second,use

[tex] \log_{4}x=\frac{\ln x}{\ln 4} [/tex]

Daniel.
 
  • #4
hellppppppppppppppppppppp!??!

dextercioby said:
As for the second,use

[tex] \log_{4}x=\frac{\ln x}{\ln 4} [/tex]

Daniel.


how did u get dat?
logx4 = In x/In 4??
 
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  • #5
Saying "y= log4 x" is the same as saying "x= 4y". Now take the logarithm (with whatever base you want- log10 or ln if you want to use a calculator): log x= log 4y[/sup= y log 4 so y= log x/log 4.
 
  • #6
helllooooooooooooooo

HallsofIvy said:
Saying "y= log4 x" is the same as saying "x= 4y". Now take the logarithm (with whatever base you want- log10 or ln if you want to use a calculator): log x= log 4y[/sup= y log 4 so y= log x/log 4.




x is the base not 4, logx4,, how oh how do u?
 
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  • #7
What do you want to do with logx 4? If you x is a given number, then you would find logx4, just as before: (log 4)/(log x). Again, the log can be either base 10 or natural log whichever is easier.
 
  • #8
yooooooooooo help

HallsofIvy said:
What do you want to do with logx 4? If you x is a given number, then you would find logx4, just as before: (log 4)/(log x). Again, the log can be either base 10 or natural log whichever is easier.




find the domain, range ang x-intercept y=logx4
 
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