a)$2^{n}$=16 $2^{n}$=$2^{4}$ ⇒n=4 Vậy n=4 b)$3^{n}$=27 $3^{n}$=$3^{3}$ ⇒n=3 Vậy n=3 c)$5^{n}$=625 $5^{n}$=$5^{4}$ ⇒n=4 Vậy n=4 d)$12^{n}$=144 $12^{n}$=$12^{2}$ ⇒n=2 Vậy n=2 e)$3^{n}$÷9=27 $3^{n}$ =27.9 $3^{n}$ =243 $3^{n}$ =$3^{5}$ ⇒n=5 Vậy n=5 f)$2^{n}$×16 =128 $2^{n}$×$2^{4}$ =$2^{7}$ $2^{n}$ =$2^{7}$÷$2^{4}$ $2^{n}$ =$2^{3}$ ⇒n=3 Vậy n=3 g)$2^{n}$-15=17 $2^{n}$ =17-15 $2^{n}$ =2 $2^{n}$ =$2^{1}$ ⇒n=1 Vậy n=1 h)2.$3^{n}$=10.$3^{12}$+8.$27^{4}$ 10.$3^{12}$+8.$27^{4}$=2.$3^{n}$ 10.$3^{12}$+8.[($3^{{3})4}$]=2.$3^{n}$ 10.$3^{12}$+8.$3^{12}$=2.$3^{n}$ $3^{12}$.(8+10)=2.$3^{n}$ $3^{12}$÷$3^{n}$.18=2 $3^{12}$÷$3^{n}$.2³=2 $3^{12-x}$÷$3^{2}$.2=2 $3^{12-x+2}$=2÷2 $3^{14-x}$=1 ⇒14-x=0 x=14-0 x=14 Vậy x=14 Reply
@Bơ `2^{n}=16` `=>2^{n}=2^4` `n=4` `3^{n}=27` `=>3^{n}=3^3` `n=3` `5^{n}=625` `=>5^{n}=5^4` `n=4` `12^{n}=144` `=12^{n}=12^2` `n=2` `3^{n}:9=27` `3^{n}=27.9` `3^{n}=243` `=>3^{n}=3^5` `n=5` `2^{n }. 16=128` `2^{n}=128:16` `2^{n}=8` `=>2^{n}=2^3` `n=3` `2^{n}-15=17` `2^{n}=17-15` `2^{n}=2` `=>2^{n}=2^1` `n=1` `2.3^{n}=10.3^{12}+8.27^{4}` `2.3^{n}=10.3^{12}+8}.3{12}` `2.3^{n}=(10+8).(3^{12}.3^{12})` `2.3^{n}=18.3^24` `2.3^{n}=2.3^{2}.3^{24}` `2.3^{n}=2.3^{26}` `=>3^{n}=3^{26}` `n=26` Reply
a)$2^{n}$=16
$2^{n}$=$2^{4}$
⇒n=4
Vậy n=4
b)$3^{n}$=27
$3^{n}$=$3^{3}$
⇒n=3
Vậy n=3
c)$5^{n}$=625
$5^{n}$=$5^{4}$
⇒n=4
Vậy n=4
d)$12^{n}$=144
$12^{n}$=$12^{2}$
⇒n=2
Vậy n=2
e)$3^{n}$÷9=27
$3^{n}$ =27.9
$3^{n}$ =243
$3^{n}$ =$3^{5}$
⇒n=5
Vậy n=5
f)$2^{n}$×16 =128
$2^{n}$×$2^{4}$ =$2^{7}$
$2^{n}$ =$2^{7}$÷$2^{4}$
$2^{n}$ =$2^{3}$
⇒n=3
Vậy n=3
g)$2^{n}$-15=17
$2^{n}$ =17-15
$2^{n}$ =2
$2^{n}$ =$2^{1}$
⇒n=1
Vậy n=1
h)2.$3^{n}$=10.$3^{12}$+8.$27^{4}$
10.$3^{12}$+8.$27^{4}$=2.$3^{n}$
10.$3^{12}$+8.[($3^{{3})4}$]=2.$3^{n}$
10.$3^{12}$+8.$3^{12}$=2.$3^{n}$
$3^{12}$.(8+10)=2.$3^{n}$
$3^{12}$÷$3^{n}$.18=2
$3^{12}$÷$3^{n}$.2³=2
$3^{12-x}$÷$3^{2}$.2=2
$3^{12-x+2}$=2÷2
$3^{14-x}$=1
⇒14-x=0
x=14-0
x=14
Vậy x=14
@Bơ
`2^{n}=16`
`=>2^{n}=2^4`
`n=4`
`3^{n}=27`
`=>3^{n}=3^3`
`n=3`
`5^{n}=625`
`=>5^{n}=5^4`
`n=4`
`12^{n}=144`
`=12^{n}=12^2`
`n=2`
`3^{n}:9=27`
`3^{n}=27.9`
`3^{n}=243`
`=>3^{n}=3^5`
`n=5`
`2^{n }. 16=128`
`2^{n}=128:16`
`2^{n}=8`
`=>2^{n}=2^3`
`n=3`
`2^{n}-15=17`
`2^{n}=17-15`
`2^{n}=2`
`=>2^{n}=2^1`
`n=1`
`2.3^{n}=10.3^{12}+8.27^{4}`
`2.3^{n}=10.3^{12}+8}.3{12}`
`2.3^{n}=(10+8).(3^{12}.3^{12})`
`2.3^{n}=18.3^24`
`2.3^{n}=2.3^{2}.3^{24}`
`2.3^{n}=2.3^{26}`
`=>3^{n}=3^{26}`
`n=26`