a)3.2n=48
<=>2n=48:3
<=>2n=16
<=>2n=24
=>n=4
b)64.16n=1024
<=>16n=1024:64
<=>16n=16
<=>16n=161
=>n=1
c)5n.5n=580
<=>52n=52x40
=>n=40
d)5n+1-5n=500
<=>5n.5-5n=500
<=>5n.(5-1)=500
<=>5n.4=500
<=>5n=125
=>n=3
a) \(3.2^n=48\\ 2^n=16\\ 2^n=2^4\\ n=4\)
b) \(64.16^n=1024\\ 4^3.4^{2n}=4^5\\ n=1\)
a) 3.2n=48
2n=48:3
2n=16
2n=24
\(\Rightarrow\)n=4
b)64.16n=1024
16n=1024:64
16n=16
16n=161
\(\Rightarrow\)n=1
c)5n.5n=580
5n.5n=540+40
\(\Rightarrow\)n=40
d)5n+1-5n=500
5n+1-5n=54-53
\(\Rightarrow\)n =3
