let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".
![\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B5%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%206%2B5%7D%7B6%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B35%7D%7B6%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B7%7D%7B3%7Dx~~%20%3D%20~~5%5Cfrac%7B5%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B3%7Dx~~%20%3D%20~~%5Ccfrac%7B35%7D%7B6%7D%5Cimplies%2042x%3D105%5Cimplies%20x%3D%5Ccfrac%7B105%7D%7B42%7D%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B21%5Ccdot%205%7D%7B21%5Ccdot%202%7D%5Cimplies%20x%3D%5Ccfrac%7B21%7D%7B21%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20x%3D1%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20x%3D2%5Cfrac%7B1%7D%7B2%7D)
Answer: No Solution
<u>Step-by-step explanation:</u>
ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0
ln
= 4
= e⁴
x = e⁴ (x + 2)
x = 54.5982 (x + 2)
x = 54.5982x + 109.1964
- 53.5982x = 109.1964
x = 
x = -2.0373
-2.0373 is not greater than 0 so is not valid
**************************************************************************
Answer: 2.1972
<u>Step-by-step explanation:</u>
eˣ = 9
ln eˣ = ln 9
x = ln 9
x ≈ 2.1972
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Answer: 
<u>Step-by-step explanation:</u>
log₂ (3x - 4) = -1
3x - 4 = 2⁻¹
3x - 4 = 
<u> +4 </u> <u>+4 </u>
3x = 
3x = 

x = 
**************************************************************************
Answer: 1.117519
<u>Step-by-step explanation:</u>
in the calculator, type in 1 ÷ 9.
Then hit the eˣ button.
e¹⁾⁹
= e°¹¹¹¹¹¹
= 1.117519
rounded to 6 decimal places: 1.117519
Answer:
Hope the pictures will help you..
I have no idea how to do this problem i dont know what a is