Question

calcule o valor de x: Log*2 x+3/2x-1=3

Answer 1

Vamos lá:

$\log _2\left(\frac{x+3}{2x-1}\right)=3\\2^3=\frac{x+3}{2x-1}\\8=\frac{x+3}{2x-1}\\8\cdot \left(2x-1\right)=x+3\\16x-8=x+3\\16x-x=3+8\\15x=11\\x=\frac{15}{11}$
-----------------------------------------------------
Espero ter ajudado!