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.

log (x + 29) - log 2 = log (6x + 2)

Answer 1

what base are all of these logs in? or are we just looking for a general answer?

Answer 2

solve
\[\frac{x+29}{2}=6x+2\] and reject any solutions that would make the input negative

Answer 3

\[x+29=12x+4\]
\[33=11x\]
\[x=3\]