SOLUTION: Please help! I do not understand logarithms - I think the answer here is -7, but I'm not sure. I need to solve for y. Can you please give me step-by-step instruction? Log49 1

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Please help! I do not understand logarithms - I think the answer here is -7, but I'm not sure. I need to solve for y. Can you please give me step-by-step instruction? Log49 1      Log On

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Question 183193: Please help! I do not understand logarithms - I think the answer here is -7, but I'm not sure. I need to solve for y. Can you please give me step-by-step instruction?
Log49 1/7 = y (log base 49)
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Please help! I do not understand logarithms - I think the answer here is -7, but I'm not sure. I need to solve for y. Can you please give me step-by-step instruction?
Log49 1/7 = y (log base 49)
log%2849%2C1%2F7%29+=+y
7 is the sqrt of 49, so
log%2849%2C7%29+=+1%2F2
The inverse, 1/7, makes it negative, so
y = -1/2