Dik ^ = pangkat
^5log3 = a
^2log5 = b
tentukan ^15log40 dalam a dan b !!!
^5log3 = a
^2log5 = b
tentukan ^15log40 dalam a dan b !!!
inoid
![$\begin{align}^{15}\negmedspace\log40&=\dfrac{^2\negmedspace\log40}{^2\negmedspace\log15}\\[5pt]&=\dfrac{^2\negmedspace\log(5\cdot8)}{^2\negmedspace\log(3\cdot5)}\\[5pt]&=\dfrac{^2\negmedspace\log5+{^2\negmedspace\log8}}{^2\negmedspace\log3+{^2\negmedspace\log5}}\\[5pt]&=\dfrac{^2\negmedspace\log5+{^2\negmedspace\log8}}{^2\negmedspace\log5\cdot{^5\negmedspace\log3}+{^2\negmedspace\log5}}\\[5pt]&=\dfrac{b+3}{ba+b}\\[5pt]&=\boxed{\dfrac{b+3}{ab+b}}\end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%5E%7B15%7D%5Cnegmedspace%5Clog40%26%3D%5Cdfrac%7B%5E2%5Cnegmedspace%5Clog40%7D%7B%5E2%5Cnegmedspace%5Clog15%7D%5C%5C%5B5pt%5D%26%3D%5Cdfrac%7B%5E2%5Cnegmedspace%5Clog%285%5Ccdot8%29%7D%7B%5E2%5Cnegmedspace%5Clog%283%5Ccdot5%29%7D%5C%5C%5B5pt%5D%26%3D%5Cdfrac%7B%5E2%5Cnegmedspace%5Clog5%2B%7B%5E2%5Cnegmedspace%5Clog8%7D%7D%7B%5E2%5Cnegmedspace%5Clog3%2B%7B%5E2%5Cnegmedspace%5Clog5%7D%7D%5C%5C%5B5pt%5D%26%3D%5Cdfrac%7B%5E2%5Cnegmedspace%5Clog5%2B%7B%5E2%5Cnegmedspace%5Clog8%7D%7D%7B%5E2%5Cnegmedspace%5Clog5%5Ccdot%7B%5E5%5Cnegmedspace%5Clog3%7D%2B%7B%5E2%5Cnegmedspace%5Clog5%7D%7D%5C%5C%5B5pt%5D%26%3D%5Cdfrac%7Bb%2B3%7D%7Bba%2Bb%7D%5C%5C%5B5pt%5D%26%3D%5Cboxed%7B%5Cdfrac%7Bb%2B3%7D%7Bab%2Bb%7D%7D%5Cend%7Balign%7D "$\begin{align}^{15}\negmedspace\log40&=\dfrac{^2\negmedspace\log40}{^2\negmedspace\log15}\\[5pt]&=\dfrac{^2\negmedspace\log(5\cdot8)}{^2\negmedspace\log(3\cdot5)}\\[5pt]&=\dfrac{^2\negmedspace\log5+{^2\negmedspace\log8}}{^2\negmedspace\log3+{^2\negmedspace\log5}}\\[5pt]&=\dfrac{^2\negmedspace\log5+{^2\negmedspace\log8}}{^2\negmedspace\log5\cdot{^5\negmedspace\log3}+{^2\negmedspace\log5}}\\[5pt]&=\dfrac{b+3}{ba+b}\\[5pt]&=\boxed{\dfrac{b+3}{ab+b}}\end{align}")
1 votes
Thanks 2
GLlukman
bntuin donk http://brainly.co.id/tugas/3242350
Bony13
buset,... rumit amat
Bony13
ngak ada yg lebih simple?