solve the logarithmic equation be sure to reject any value o

solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression.

a. the solution set is _____ (type an exact answer in simplified form)
b. there are infinitely many solutions
c. there is no solution

Solution

Solution:

Here;

log(7x-6) = log(x+1) + log 8

=> log(7x-6) = log 8(x+1)

On comparing :

7x-6 = 8x+8

=> x = -14

a) x = -14