Correct Logarithmic Expressions Responses

Is this a question?

(1)   log ₇ x + log ₇ y  - log ₇ z

Note that  log x + log y  = log (xy)

And  log  x  - log y  = log (x / y)

So....we have

log ₇ ( xy  / z ) 

e ^{(4/3)Ln 2 - 1}  =  

e^{4/3 Ln 2} /  e   =

e ^Ln2(4/3)  / e           note that  e ^{ln a}  = a

2^4/3  / e  =

16 ^1/3   / e   =

2∛2 / e