Question

Math question help please

Answer 1

Answer:

log8 (X/Y

x = -4

Step-by-step explanation:

log8 X = log8 Y

= log8 (X/Y)

3^(x-1) = 1 / 243

3^(x - 1) =  1 / 3^5

3^(x - 1) = 3^(-5)

x - 1 = -5

x = -4

Answer 2

Answer: log₈$(\frac{X}{Y} )$

Step-by-step explanation:

log₈X - log₈Y

log rules say that subtraction becomes division when combining into one log

log₈$(\frac{X}{Y} )$

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Answer: -4

Step-by-step explanation:

3ˣ⁻¹ = $\frac{1}{243}$

3ˣ⁻¹ = 3⁻⁵

x - 1 = -5

  +1   +1

x     = -4

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Answer: $\frac{5}{3}$

Step-by-step explanation:

$(\frac{1}{6})^{x - 5} = 36^{x}$

6⁻¹⁽ˣ⁻⁵⁾ = 6²⁽ˣ⁾

-1(x - 5) = 2(x)

-x + 5 = 2x

+x         +x

       5 = 3x

       $\frac{5}{3} = x$

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Answer:  0

Step-by-step explanation:

log₂ 1 = x

       1 = 2ˣ

     2⁰ = 2ˣ

      0 = x