Question
Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.)
log2(x + 17) − log2(x − 2) = 1
2 is the base for the log.
log2(x + 17) − log2(x − 2) = 1
2 is the base for the log.
Answers
Reiny
using our rules of logs , which you should have at your fingertips,
log<sub>2</sub> ( (x+17)/(x-2) ) = 1
so
(x+17)/(x-2) = 2^1
solve for x , remember x> 2 for the log to be defined.
log<sub>2</sub> ( (x+17)/(x-2) ) = 1
so
(x+17)/(x-2) = 2^1
solve for x , remember x> 2 for the log to be defined.