Question

Dau maine test la logaritm si as avea nevoie de niste raspunsuri la exercitile care le voi scrie in aceasta postare va rog frumos!
3 la puterea x = 243
7 la puterea x-2=128

Answer 1

[tex]3^x = 243\\\text{Logaritm\u am cu }\log_3\text{ pentru ca x s\u anu mai fie exponent.}\\\log_33^x=\log_3243\\\text{Descompunem \^in factori primi: }\\243=3^5\\x\log_33=\log_33^5\\ x=5\log_33\\x=5[/tex]

[tex]7^{x-2}=128\\\text{Logaritm\u am cu }\log_7 \\128=2^7\\ \log_7(7^{x-2})=\log_72^7\\(x-2)\log_77=7\log_72\\x-2=8\log_72\\x=7\log_72+2[/tex]