Pertanyaan

Jika lo g 2 = m dan lo g 3 = n , tentukan nilai logaritma berikut. e. lo g 2 5

Jika $lo g 2 = m$ dan $lo g 3 = n$ , tentukan nilai logaritma berikut.
e. $lo g \frac{5}{2}$

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style log space fraction numerator square root of 5 over denominator 2 end fraction equals log space square root of 5 minus log space 2 space space space space space space space space space space space space space space equals log space 5 to the power of 1 half end exponent minus log space 2 space space space space space space space space space space space space space space equals 1 half log space 5 minus log space 2 space space space space space space space space space space space space space space equals 1 half log space 10 over 2 minus log space 2 space space space space space space space space space space space space space space equals 1 half left parenthesis log space 10 minus log space 2 right parenthesis minus log 2 space space space space space space space space space space space space space space equals 1 half left parenthesis 1 minus m right parenthesis minus m space space space space space space space space space space space space space space equals 1 half minus 3 over 2 m end style$