using theorem 11.10 (First Isomorphism Theorem), Show that theset of positive real numbers with multiplication is isomorphic tothe set of real numbers with addition.
Theorem 11.10 First Isomorphism Theorem. If ψ : G → H is a grouphomomorphism with K = kerψ, then K is normal in G. Let ϕ : G → G/Kbe the canonical homomorphism. Then there exists a uniqueisomorphism η : G/K → ψ(G) such that ψ = ηϕ.