Question

Solve for x, if : log_x49 - log_x7 + log_x `1/343` + 2 = 0

Answer 1

log_x49 - log_x7 + log_x `1/343` + 2 = 0

⇒ log_x49 - log_x7 + log_x (343)^-1 = - 2

⇒ log_x49 - log_x7 - log_x (343) = - 2

⇒ log_x`[49/[7 xx 343]]` = - 2 

⇒ log_x`[1/49]` = - 2

⇒ x^-2 = `1/49`

⇒ `1/x^2=1/49`

⇒ x² = 49

⇒ x = `sqrt49`

⇒ x = 7