- #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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- Thread starter pokipok
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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

- 4

- 0

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

Science Advisor

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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

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As for the second,use

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

Daniel.

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

Daniel.

- #4

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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??

Last edited:

- #5

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- #6

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HallsofIvy said:_{4}x" is the same as saying "x= 4^{y}". Now take the logarithm (with whatever base you want- log_{10}or ln if you want to use a calculator): log x= log 4^{y[/sup= y log 4 so y= log x/log 4.}

Last edited:

- #7

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- #8

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HallsofIvy said:_{x}4? If you x is a given number, then you would find log_{x4, just as before: (log 4)/(log x). Again, the log can be either base 10 or natural log whichever is easier.}

Last edited:

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