Question

Equações exponenciais

5×+¹²=25
4×=2×-¹³
(1÷8)ײ+3×+1=8
(1÷3)ײ-10=1÷729
25×+2=125×+5

Answer 1

a) NÃO VERDADEIRO


b)4x=2x^13
2x=x^13
2x-x^13=0
x=0
2-x^12=0
x=^12 RAIZ QUADRA DE 2
x=-^12 RAIZ QUADRADA DE 2

c) (1÷8)x^2+3x+1=8
0.125^2x^2+3x+1=8
x^2+24x +8=64
x^2+24x=56
x^2+24x+(24/2)^2=56+(24/2)^2
(x+24/2)^2=200
x=10 RAIZ QUADRA DE2 -12
x=-10 RAIZ QUADRADA DE2 -12


d) (1÷3)x2-10=7÷729
1/3x^2-10=1/729
1/3x^2=1/729+10
1/3x^2=7291/729
x^2=7291/243
x=+- RAIZ QUADRA 21837/27
x=RAIZ QUADRA 21873/27

e) 25+2=125x+5
27=125x+5
27=125x+5
-125x=-22
x=22/125