Answer: -3
Step-by-step explanation:
[tex](\frac{1}{9})^{v}[/tex] = 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
[tex]ln (\frac{x+5}{x-5})[/tex] = 4
[tex]\frac{x+5}{x-5}[/tex] = e⁴
x + 5 = e⁴ (x - 5)
x + 5 = 54.5982(x - 5)
x + 5 = 54.5982x - 272.99075
-53.5982x = -277.99075
[tex]\frac{-53.5982x}{-53.5982} = \frac{-277.99075}{-55.5982}[/tex]
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 = [tex]\frac{8}{224}[/tex]
eˣ⁻² = [tex]\frac{1}{28}[/tex]
ln eˣ⁻² = [tex]ln(\frac{1}{28})[/tex]
x - 2 = [tex]ln(\frac{1}{28})[/tex]
+2 +2
x = [tex]ln(\frac{1}{28})[/tex] + 2
x = -3.3322 + 2
x = -1.3322
