Nyatakan bentuk berikut dalam bentuk logaritma tunggal.
a) 8. ³log √m + 3. ³log ∛n - 2. ³log k = ...
b) 3. ²log ∛m + 2. ²log √m - 4. ²log ∛m² = ....
tolong beri uraiannya, terima kasih.
a) 8. ³log √m + 3. ³log ∛n - 2. ³log k = ...
b) 3. ²log ∛m + 2. ²log √m - 4. ²log ∛m² = ....
tolong beri uraiannya, terima kasih.
ekamiaww
![\displaystyle\ 8.^3log \sqrt{m} +3.^3log \sqrt[3]{n} -2.^3logk \\ =^3log (m^{ \frac{1}{2}})^8 +^3log (n^{ \frac{1}{3} })^3-^3logk^2 \\ = ^3log m^4 +^3log n-^3logk^2 \\ =^3log \frac{m^4.n}{k^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C+8.%5E3log+%5Csqrt%7Bm%7D+%2B3.%5E3log+%5Csqrt%5B3%5D%7Bn%7D+-2.%5E3logk+%5C%5C+%3D%5E3log++%28m%5E%7B+%5Cfrac%7B1%7D%7B2%7D%7D%29%5E8+%2B%5E3log+%28n%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D%29%5E3-%5E3logk%5E2+%5C%5C+%3D+%5E3log++m%5E4+%2B%5E3log+n-%5E3logk%5E2+%5C%5C+%3D%5E3log+%5Cfrac%7Bm%5E4.n%7D%7Bk%5E2%7D+ "\displaystyle\ 8.^3log \sqrt{m} +3.^3log \sqrt[3]{n} -2.^3logk \\ =^3log (m^{ \frac{1}{2}})^8 +^3log (n^{ \frac{1}{3} })^3-^3logk^2 \\ = ^3log m^4 +^3log n-^3logk^2 \\ =^3log \frac{m^4.n}{k^2}")
![3.^2log \sqrt[3]{m} +2.^2log \sqrt{m} -4.^2log \sqrt[3]{m^2} \\ =^2log(m^{ \frac{1}{3} })^3+^2log(m^{ \frac{1}{2} })^2-^2log(m^{ \frac{2}{3} })^4 \\ =^2logm+^2logm-^2logm^{ \frac{8}{3} } \\ =^2log \frac{m.m}{m^{ \frac{8}{3} }} \\ =^2logm^{2-\frac{8}{3} } \\ =^2logm^{-\frac{2}{3} }} \\ ={-\frac{2}{3} }.^2logm](https://tex.z-dn.net/?f=3.%5E2log+%5Csqrt%5B3%5D%7Bm%7D+%2B2.%5E2log+%5Csqrt%7Bm%7D+-4.%5E2log+%5Csqrt%5B3%5D%7Bm%5E2%7D++%5C%5C+%3D%5E2log%28m%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D%29%5E3%2B%5E2log%28m%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%29%5E2-%5E2log%28m%5E%7B+%5Cfrac%7B2%7D%7B3%7D+%7D%29%5E4+%5C%5C+%3D%5E2logm%2B%5E2logm-%5E2logm%5E%7B+%5Cfrac%7B8%7D%7B3%7D+%7D+%5C%5C+%3D%5E2log+%5Cfrac%7Bm.m%7D%7Bm%5E%7B+%5Cfrac%7B8%7D%7B3%7D+%7D%7D++%5C%5C+%3D%5E2logm%5E%7B2-%5Cfrac%7B8%7D%7B3%7D+%7D+%5C%5C+%3D%5E2logm%5E%7B-%5Cfrac%7B2%7D%7B3%7D+%7D%7D+%5C%5C+%3D%7B-%5Cfrac%7B2%7D%7B3%7D+%7D.%5E2logm "3.^2log \sqrt[3]{m} +2.^2log \sqrt{m} -4.^2log \sqrt[3]{m^2} \\ =^2log(m^{ \frac{1}{3} })^3+^2log(m^{ \frac{1}{2} })^2-^2log(m^{ \frac{2}{3} })^4 \\ =^2logm+^2logm-^2logm^{ \frac{8}{3} } \\ =^2log \frac{m.m}{m^{ \frac{8}{3} }} \\ =^2logm^{2-\frac{8}{3} } \\ =^2logm^{-\frac{2}{3} }} \\ ={-\frac{2}{3} }.^2logm")
1 votes
Thanks 1
Ridafahmi
terima kasih sekali lagi
ekamiaww
sama2 :)
More Questions From This User See All