Question

use the laws of logarithms to solve the equation

log(base 2)*(2x+5)=4

Answer 1

\[\Large \log_{2}(2x+5)=4\]


\[\Large 2x+5=2^4\]


\[\Large 2x+5=16\]


\[\Large 2x=16-5\]


\[\Large 2x=11\]


\[\Large x=\frac{11}{2}\]