Question

Log (x+4) -5 base 2 = 17
help please!!

Answer 1

`\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \boxed{a^(log_a x)=x}\\\\ -------------------------------\\\\ log_2(x+4)-5=17\implies log_2(x+4)=22\implies 2^(log_2(x+4))=2^(22) \\\\\\ x+4=2^(22)\implies x=2^(22)-4\implies x=4194300`