Question

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

Answer 1

Answer: -3

Step-by-step explanation:

$(\frac{1}{9})^{v}$ = 729

9⁻¹⁽ˣ⁾ = 9³

-v = 3

v = -3

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Answer: 5

Step-by-step explanation:

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

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Answer: 1.117519

Step-by-step explanation:

 e ¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

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Answer: No Solution

Step-by-step explanation:

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

$ln (\frac{x+5}{x-5})$ = 4

$\frac{x+5}{x-5}$ = e⁴

x + 5 = e⁴ (x - 5)

x + 5 = 54.5982(x - 5)

x + 5 = 54.5982x - 272.99075

-53.5982x = -277.99075

$\frac{-53.5982x}{-53.5982} = \frac{-277.99075}{-55.5982}$

   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

Step-by-step explanation:

224 eˣ⁻² = 8

       eˣ⁻² = $\frac{8}{224}$

        eˣ⁻² = $\frac{1}{28}$

      ln eˣ⁻² = $ln(\frac{1}{28})$

        x - 2 = $ln(\frac{1}{28})$

           +2              +2

        x       = $ln(\frac{1}{28})$ + 2

        x       = -3.3322 + 2

        x       = -1.3322