Question

Log2(2x-1)+log2(x+5)=log2 13

Answer 1

см документ
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d9c9a381f5b5b5212e3eb1f7fecaacad.pdf

Answer 2

Log2(2x-1)+log2(x+5)=log2 13
Log2(2x-1)*(x+5)=log2 13
(2x-1)*(x+5)= 13
2х²-х-5+10х-13=0
2х²+9х-18=0
Д=81+144=225=15²
х1=(-9+15)/4=6/4=3/2
х2=(-9-15)/4=-24/4=-6
ответы✓
проверка:
Log2(2*(3/2)-1)+log2(3/2+5)=
=1+log2 13/2=1+log2 13- log 2 2 = log 2 13 ч.т.д.

d9c9a381f5b5b5212e3eb1f7fecaacad.pdf