Find the value of the logarithm please show work break it down for me please :D

label Mathematics
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Oct 9th, 2015

Hello!

log_7(1/49) = -log_7(49).   (the property of logs)

log_7(49) is by definition the number x such that 7^x = 49. It is unique.

I sure you know that 49 = 7^2, so x=2.

The answer: -2.

Please ask if something is unclear.
Oct 9th, 2015

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Oct 9th, 2015
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Oct 9th, 2015
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