Daftar Isi
Jika 9
log 8 = 3m, nilai 4
log 3
Jawab:
[tex]^9\log8=3m\\^ 3^ 2 \log2^ 3 =3m\\\frac 3 2 .^3\log2=3m\\^3\log2=\frac 2 3 .3m\\^3\log2=2m\\^4\log3=^ 2^2 \log3\\^4\log3=\frac 1 2 .^2\log3\\^4\log3=\frac 1 2 .\frac 1 ^3\log2 \\^4\log3=\frac 1 2 .\frac 1 2m \\^4\log3=\frac 1 4m [/tex]
Penjelasan dgn tindakan:
Jika 9
log 8 = 3m, nilai 4
log 3
Penjelasan dgn langkah-langkah:
[tex]⁹log \: 8 = 3m[/tex]
[tex] ^ 3^2 log \: 2^3 = 3m[/tex]
[tex]\frac 3 2 .³log \: 2 = 3m[/tex]
[tex]³log \: 2 = 3m \div \frac 3 2 [/tex]
[tex]³log \: 2 = 3m \times \frac 2 3 [/tex]
[tex]³log \: 2 = 2m[/tex]
[tex]²log \: 3 = \frac 1 2m [/tex]
maka :
[tex]=⁴log \: 3[/tex]
[tex]= ^ 2^2 log \: 3[/tex]
[tex]=\frac 1 2 .2log \: 3[/tex]
[tex]=\frac 1 2 .\frac 1 2m [/tex]
[tex]=\frac 1 4m [/tex]
9 log 8= 3m, nilai 4 log 3 yaitu
[tex]\bold \underline Solution: \\\\first\ solve\ this:\\\\ ^ 9 log\ 8=3m\\\boxed ^ 3^ 2 log\ 2^ 3 =3m \\\boxed \frac 3 2 ^ 3 log\ 2=3m \\\boxed ^ 3 log\ 2= 3m \times \frac 2 3 \\\boxed ^ 3 log\ 2= 2m \\\boxed ^ 2 log\ 3= \frac 1 2m [/tex]
[tex]now\ solve\ the\ question :\\\\ ^ 4 log\ 3\\\boxed = ^ 2^ 2 log\ 3 \\\boxed = \frac 1 2 ^ 2 log\ 3 [Now\ subtitute\ the\ value]\\\boxed = \frac 1 2 \cdot \frac 1 2m \\\boxed = \frac 1 4m [/tex]
jikalau 9 log 8 = 3m,maka 3 log 2 =
^ artinya pangkat
⁹log 8 = 3m
^(3²)log 2³ = 3m
(3/2) . ³log 2 = 3m
³log 2 = 3m . 2/3
³log 2 = 2m
********************
Kelas 10
Pelajaran Matematika
Bab 1 Akar, Pangkat & Logaritma
Kata kunci : –
Kode kategorisasi : 10.2.1
Tentukan 4 log 3,jikalau dimengerti 9 log 8 =3M
LogAritMa
Hy Juwi… 🙂
9’log 8 = 3M
(3²)’log 2³ = 3M
(3/2) . ³log 2 = 3M
³log 2 = 2M
••
⁴log 3
= (2²)’log 3
= 1/2 . ²log 3
= 1/2 . 1/(2M)
= 1/(4M) ✔