Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

ln (x - 8) - ln (x + 7) = ln (x - 10) - ln (x + 8)

Question

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 

ln (x - 8) - ln (x + 7) = ln (x - 10) - ln (x + 8)

anonymous · Answer

@Garadon_Shagan

anonymous · Answer

write both sides as a single log first

anonymous · Answer

then forget about the log and equate the inputs

anonymous · Answer

Thank you @satellite73

anonymous · Answer

if that is not clear, let me know
yw

anonymous · Answer

log x - log y = log x/y

Which means 

ln ((x-8)/(x+7)) = ln (x - 10)/(x+8) 

Now you need to search for values of x where the fractions are equal because then the logs will be equal