Question

Calcule os logartimos:
2)log 16 base 1/2
3)log 9/64 base 3/8
4)log 0,001 base 0,1
5)log 5 base 27
6)log 0,001 base 10
7)log 0,125 base 0,5
8)log √8 base √2
9)log 5√7 base 49
10)log 128 base √2

Answer 1

2.
(1/2)^x = 16
2^-x = 2^4
x = - 4

3.
(3/8)^x = 9/64
(3/8)^x = (3/8)^2
x = 2
4.
(0,1)^x = 0,001
(0,1)^x = (0,1)^3
x = 3

5.

6.
(0,1)^x = 0,001
(10)^x = 0,001
(10)^x = 1/1000
(10)^x = 1/10^3
(10)^x = 10^-3
x = -3

o resto é sempre isso. Igualar as bases.