Question

equação exponencial : ( 1/3) ^x-10 = 1/729

Answer 1

(1/3)^x - 10 = 1/729
(1/3)^x - 10 = 1/3^6

(1/3)^x - 10 = (1/3)^6
x - 10 = 6
x = 6 + 10
x = 16

Answer 2

$( \frac{1}{3} )^(^x^-^1^0^) = \frac{1}{729}$

729 = 3⁶

podemos escrever:$\frac{1}{729} = \frac{1}{3^6} = (\frac{1}{3} )^6$

logo,

$( \frac{1}{3} )^(^x^-^1^0^) = (\frac{1}{3} )^6$

bases iguais (1/3) . Simplifica!

fica:   

x - 10 = 6

x = 6 + 10    = 16


resp: x = 16