Question

log_{2}(x-10)-3=log_{2}(1-x)

Answer 1

\[\log_2(x-10)-3=\log_2(1-x)\]

\[\log_2(x-10)-\log_2(1-x)=3\]

\[\log_2\left(\frac{x-10}{1-x}\right)=3\]

Answer 2

\[\frac{x-10}{1-x}=2^3\]


continue to solve for x ...

Answer 3

you should get x=2

Answer 4

I should state here that this is only true if you are allow to work in the complex plane.

clearly is you put in x=2 into the above equation you get negative values inside the log. if you are just working in R then you really have no solution. if you are allowed to work in C the 2 is the solution