Question

(-5)mũ18 : 5 mũ x-3=25 mũ 6

Ghi mũ rõ ràng nhe

Answer 1

\(\left(-5\right)^{18}:5^{x-3}=25^6\)

\(=>5^{x-3}=\left(-5\right)^{18}:25^6\)

\(=>5^{x-3}=5^{18}:5^{12}\)

\(=>5^{x-3}=5^6\)

\(=>x-3=6\)

\(=>x=6+3\)

\(=>x=9\)

Answer 2

\((-5)^{18}:5^{x-3}=25^6\\\Rightarrow 5^{18}:5^{x-3}=(5^2)^6\\\Rightarrow 5^{18-(x-3)}=5^{2\cdot6}\\\Rightarrow 5^{18-x+3}=5^{12}\\\Rightarrow 5^{21-x}=5^{12}\\\Rightarrow 21-x=12\\\Rightarrow x=21-12\\\Rightarrow x=9\\\mathit{Vậy}:x=9\)