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Log(x + 6) - log(2x - 3) = 2 - log25?

Log(x + 6) - log(2x - 3) = 2 - log25.

10Cristhiancordova

En resumen

Log(x + 6) - log(2x - 3) = 2 - log25 log(x + 6) / (2x - 3) = log10 ^ 2 - log25 = log100 / 25 = log4 (x + 6) / (2x - 3) = 4 (x + 6) = 4(2x - 3) x + 6 = 8x - 12 8x - x = 6 + 12 7x = 18 x = 18 / 7.

Mejor respuesta

Indirasha

8

Log(x + 6) - log(2x - 3) = 2 - log25

log(x + 6) / (2x - 3) = log10 ^ 2 - log25 = log100 / 25 = log4

(x + 6) / (2x - 3) = 4

(x + 6) = 4(2x - 3)

x + 6 = 8x - 12

8x - x = 6 + 12

7x = 18

x = 18 / 7.