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What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?

User Trejder
by
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2 Answers

4 votes

Answer:

-2

Explanation:

User Alexander Ermolov
by
4.2k points
3 votes

Answer:

-2

Explanation:

Let x be the unknown value

Log₆ ( 1/36) = x

( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²

Log₆ ( 1/36) = Log₆ 6⁻² = -2 Log₆ 6

Log₆ 6 = 1

-2 Log₆ 6 = -2(1) = -2

User Cynic
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3.9k points