Matematika Sekolah Menengah Atas jika 5log 4=m, ⁴log 3=n, nyatakan ¹²log 100 dalan m dan n. mohon dibantu teman teman​

tracyloweulv – March 10, 2023

jika 5log 4=m, ⁴log 3=n, nyatakan ¹²log 100 dalan m dan n. mohon dibantu teman teman​

Pembahasan :

jika ⁵log 4=m, ⁴log 3=n, nyatakan ¹²log 100 dalan m dan n.

⁵log4 = m

⁴log5 = 1/⁵log4 = 1/m

⁴log3 = n

¹²log100 = ⁴log100/⁴log12

= ⁴log(5²×4)/(⁴log(3×4))

= (⁴log5² + ⁴log4)/(⁴log3 +⁴log4)

= ( 2⁴log5 + 1)/(⁴log3 + 1)

= (2×1/m + 1)/(n + 1)

= ((2/m) + 1)/(n + 1)

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