log5 x log5x8 1 Select the correct choice below and if nece

log_5 x- log_5(x-8) = 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x = (Simplify your answer. Type an integer or a decimal.) There is no solution.

Solution

given log₅x -log₅(x-8)=1

log_ca -log_cb =log_ca/b

log₅(x/(x-8))=1

(x/(x-8))=5¹

(x)=5(x-8)

x=5x-40

=>5x-x=40

=>4x=40

=>x=10