Question

Resolva as seguintes equações exponenciais. A) (1/81)^x-2=(√27)^x

B) ^x+1√2^2x-1=2

Answer 1

(1/81)^x-2 = √27^x (81^-1)^(x-2)=(27^1/2)^x 81^(-x+2)=27^(x/2) (3^4)^(-x+2)=(3^3)^x/2 3^(-4x+8)=3^(3x/2) -4x+8=3x/2 x=16/11