SOLUTION: how to evaluate log base 2 1/6

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Question 1058147: how to evaluate log base 2 1/6
Found 2 solutions by solve_for_x, josgarithmetic:
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
The change of base formula is:



where "log" is the common base-10 logarithm, and "ln" is the
base-e natural logarithm. You can use either one.

To evaluate log2 (1/6) then:

log2 (1/6) = log(1/6) / log(2) ≈ -2.5850

As a check, 2%5E-2.5850+=+0.1666+=+1%2F6

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%281%2F6%29%29

log%282%2C%286%5E%28-1%29%29%29

-1%2Alog%282%2C6%29

Change Of Base Formula:
Put into base 10.

log%2810%2C6%29%2Flog%2810%2C2%29=log%282%2C6%29
-
-1%2Alog%2810%2C6%29%2Flog%2810%2C2%29

-1%280.77815%2F0.30103%29

highlight%28-2.585%29