Question

Help with number 10! Step by step please!

Answer 1

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  $\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}$

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I find it helpful to remember that a logarithm is an exponent.

  $\log_a(a^b)=b$