Solve forx.log(x) = log(y) + log(z) + log(y) − log(z)

Answer:x = y²Step-by-step explanation:Given:log(x) = log(y) + log(z) + log(y) − log(z) ................(1)Now,from the properties of natural log, we have log(A) + log(B) = log(AB)andlog(A) - log(B) = [tex]\log(\frac{A}{B})[/tex]applying the above property in the provided equation, we havelog(x) = ( log(y) + log(z) ) + log(y) − log(z)orlog(x) = log(yz) + log(y) - log(z)orlog(x) = log(yzy) - log(z)                              [as log(yz) + log(y) = log(yzy) ]orlog(x) = log(y²z) - log(z)  also,log(x) = [tex]\log(\frac{y^2z}{z})[/tex]orlog(x) = log(y²)Now, taking the anti-log both sides, we getx = y²