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

Question

asked Feb 2, 2021 57.2k views

2 Answers

Cynic · Answer 1 · 2021-02-06T14:48:20+0000

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