Question

Resolva as equações :
A) (1/10) elevado a -x² = 10.000
B) (0,5) elevado a 2x-5 = 256

Answer 1

Olá,Karoly
a)(1/10)^(-x²)=10000
(1/10)^(-x²)=10⁴
(10-¹)^(-x²)=10⁴
10^x²=10⁴
x²=4
x=2 ou x=-2
S={2,-2}
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b)(1/2)^(2x-5)=256
(2-¹)^(2x-5)=2^8
2^(-2x+5)=2^8
2^(5-2x)=2^8
5-2x=8
-2x=8-5
-2x=3 => x=-3/2 #