Question

Resolva as equações exponenciais


a) 2^×-5= 1024

b) 5^3-x = 0.04

c) 2^x^2 -9 = 1

D) 8^x = √32

Answer 1

2^x-5 = 2^10
x-5 = 10
x = 15 ✓

5^3-x = 1/25. => 0,04=4/100=1/25=5-²
5^3-x = 5^-2
-x = -2-3
x = 5

2^(x²-9) = 2^0
x²-9=0
x²=9
x= √9
x= ± 3 ✓

8^x = √2^5
2^3x = 2^5/2
3x = 5/2
6x = 5
x = 5/6 ✓