Jika 9

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 dengan langkah-langkah:

Jika 9

log 8 = 3m, nilai 4

log 3

Penjelasan dengan 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 adalah

[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]

jika 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 dan Logaritma

Kata kunci : -

Kode kategorisasi : 10.2.1

Tentukan 4 log 3,jika diketahui 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) ✔