Respostas
Resposta:
Explicação passo a passo:
7.
log 2 16
2^x=16
2^x=2^4 [corta base 2]
x=4
log 0,0001
10^y=0,0001
10^y=10^-4 [ corta base 10]
y=-4
log 2 8
2^w=8
2^w=2^3 [corta base 2]
w=3
log 2 16 + log 0,0001 - log 2 8=
4+(-4)-3=
0-3=
-3
8.
a.
72|2
36|2
18|2
9|3
3|3
1
log 72=
log 2^3.3^2=
log 2^3 + log 3^2=
3.log 2+ 2.log 3=
3.a+2.b=
3a+2b
b.
120|2
60|2
30|2
15|3
5|5
1
log 5=
log 10/2=
log 10 - log 2=
1-a
log 120=
log 2^3.3.5=
log 2^3 + log 3 + log 5=
3.a+b+1-a=
2a+b+1
8.
a.
log 144
144|2
72|2
36|2
18|2
9|3
3|3
1
log 144=
log 2^3.3^2=
log2^3+log 3^2=
3.log2 + 2.log3=
3.0,30+2.0,48=
0,9+0,96=
1,86
b.
log 50
log 5=
log 10/2=
log 10- log 2=
1-0,30=
0,70
50|2
25|5
5|5
1
log 50=
log 2.5^2=
log 2+ log 5^2=
log 2 + 2.log 5=
0,30+ 2.0,70=
0,30+ 1,40=
1,70
10.
8^x=9
log 8^x = log 9
log (2^3)^x= log 3^2
x(3.log 2)=2.log3=
x.(3.a)=2.b
3ax=2b
x=2b/3a
Resposta A