Question

Please help me with these last questions im having trouble figuring them out

Answer 1

Answer: -3

Explanation:

`((1)/(9))^(v)` = 729

9⁻¹⁽ˣ⁾ = 9³

-v = 3

v = -3

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Answer: 5

Explanation:

log is actually log₁₀ ....... 10 log₁₀ cancels out

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Answer: 1.117519

Explanation:

e ¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

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Answer: No Solution

Explanation:

ln (x + 5) - ln (x - 5) = 4 restrictions: x + 5 > 0 and x - 5 > 0 --> x > 5

`ln ((x+5)/(x-5))` = 4

`(x+5)/(x-5)` = e⁴

x + 5 = e⁴ (x - 5)

x + 5 = 54.5982(x - 5)

x + 5 = 54.5982x - 272.99075

-53.5982x = -277.99075

`(-53.5982x)/(-53.5982) = (-277.99075)/(-55.5982)`

x = 4.999995

rounded to the nearest 4 decimal places: x = 5

5 is not greater than 5 so it is not valid

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Answer: -1.3322

Explanation:

224 eˣ⁻² = 8

eˣ⁻² =
`(8)/(224)`

eˣ⁻² =
`(1)/(28)`

ln eˣ⁻² =
`ln((1)/(28))`

x - 2 =
`ln((1)/(28))`

+2 +2

x =
`ln((1)/(28))` + 2

x = -3.3322 + 2

x = -1.3322