Question

Help exercicios sore logaritimos.

Answer 1

9) log3(2x+1) - log3(5x-3) = -1
log3 $\frac{2x+1}{5x-3}$ = -1
$3^{-1}$ = $\frac{2x+1}{5x-3}$
$\frac{1}{3} = \frac{2x+1}{5x-3}$
5x-3= 6x+3
x= -6

alternativa d

5) a) logx a³/b².c²
logx a³ - (logx b².c²)
3.logx a - (2.logx b + 2.logx c)
3.8 - (2.2+2.1)
24- (4+2)
24-6
= 18

b) logx ³√ab/c
logx ³√ab - logx c
logx $ab^{1/3}$ - logx c
1/3.logx ab - logx c
1/3. (logx a + logx b) - logx c
1/3. (8+2) - 1
1/3.10 - 1
= 7/3

:)