a) `3^3 .2^n =432`
`=>27.2^n =432`
`=>2^n =432:27`
`=>2^n =16`
`=>2^n =2^4`
`=>n=4`
b) `784:7^n =2^4`
`=>7^n =784:16`
`=>7^n =49`
`=>7^n =7^2`
`=>n=2`
c) `9<3^n :3<81`
`=>3^2 .3<3^n <3^4 .3`
`=>3^3 <3^n <3^5`
`=>n=4`
d) `2.3^n =6.3^7`
`=>3^n =6:2.3^7`
`=>3^n =3.3^7`
`=>3^n =3^8`
`=>n=8`
e) `3^4 .3^n =9^3`
`=>3^4 .3^n =3^6`
`=>3^n =3^6 :3^4`
`=>3^n =3^2`
`=>n=2`
f) `2^(n+2)-2^n =96`
`=>2^n .2^2 -2^n =96`
`=>2^n .(4-1)=96`
`=>2^n .3=96`
`=>2^n =96:3`
`=>2^n =32`
`=>2^n =2^5`
`=>n=5`
a: =>2^n=432/27=16
=>n=4
b: =>7^n=784:16=49
=>n=2
c: =>27<3^n<243
=>3^3<3^n<3^5
=>n=4
d: =>3^n=3*3^7=3^8
=>n=8
e: =>3^4*3^n=3^6
=>n+4=6
=>n=2
f: =>2^n*4-2^n=96
=>2^n*3=96
=>2^n=32
=>n=5
