willm2003 willm2003
  • 14-12-2020
  • Mathematics
contestada

SOLVE: log x - log (x+4) = -1

Respuesta :

lucic
lucic lucic
  • 14-12-2020

Answer:

x = 4/9

Step-by-step explanation:

Remember when you subtract logs, you divide the numbers;

This means;

log x - log (x+4) = -1   ---------can be written as;

[tex]log\frac{x}{x+4} =-1[/tex]

Eliminate the log as

[tex]\frac{x}{x+4} =10^{-1}[/tex]

x/ x+4 = 1/10

10x=x+4 --------collect like terms

10x-x =4

9x = 4 ------find value of x

x= 4/9

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