Question

find the value of m such that 3power 2m of 3power 3m equals to 81​

Answer 1

Answer:

Find an answer to your question (3m^2/3m^2)^m = 1/81, find the value of m ... Given If [3^m² ÷ (3^m)² ]^1/m = 81 , then find the value of m. We need to ... So we have.

Answer 2

→ Solution

[3 m 2 ÷(3m) 2 ]

[3 m 2 ÷(3m) 2 ] 1/m =87

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m )

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34 ⇒ (3 m 2 −2m )

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34 ⇒ (3 m 2 −2m ) 1/m =3 4

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34 ⇒ (3 m 2 −2m ) 1/m =3 4 ⇒ 3 m −23 =3 4

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34 ⇒ (3 m 2 −2m ) 1/m =3 4 ⇒ 3 m −23 =3 4

[3 m 2 ÷(3m) 2 ] 1/m =87⇒ (3 m 2 ÷3 2m ) 1/m =34 ⇒ (3 m 2 −2m ) 1/m =3 4 ⇒ 3 m −23 =3 4 Since basses are same, so we have

m

m 2

m 2 −2m−4m=0

m 2 −2m−4m=0m

m 2 −2m−4m=0m 2

m 2 −2m−4m=0m 2 −6m

m 2 −2m−4m=0m 2 −6mm(m−6)=0m=6