Respuesta :
Answer:
x = 8/7
Step-by-step explanation:
log (X + 8) = log x + log 8
We know that log a + log b = log ab
log (X + 8) = log 8x
Raise each side to base 10
10^log (X + 8) = 10^log 8x
x+8 = 8x
Subtract x from each side
x+8-x = 8x-x
8 = 7x
Divide by 7
8/7 = 7x/7
8/7 =x
Answer:
[tex]x = \frac{8}{7} [/tex]
Step-by-step explanation:
[tex] log(x + 8) = log(x) + log(8) \\ (x + 8) = 8x \\ x + 8 = 8x \\ 8 = 8x - x \\ 8 = 7x \\ \frac{8}{7} = \frac{7x}{7} \\ x = \frac{8}{7} [/tex]