Question

Math question help please

Answer 1

log8 (X/Y

x = -4

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
`((X)/(Y) )`

Explanation:

log₈X - log₈Y

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

log₈
`((X)/(Y) )`

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Answer: -4

Explanation:

3ˣ⁻¹ =
`(1)/(243)`

3ˣ⁻¹ = 3⁻⁵

x - 1 = -5

+1 +1

x = -4

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Answer:
`(5)/(3)`

Explanation:

`((1)/(6))^(x - 5) = 36^(x)`

6⁻¹⁽ˣ⁻⁵⁾ = 6²⁽ˣ⁾

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

-x + 5 = 2x

+x +x

5 = 3x

`(5)/(3) = x`

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Answer: 0

Explanation:

log₂ 1 = x

1 = 2ˣ

2⁰ = 2ˣ

0 = x