Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

3(2^x)=6^(x-1). leave the solution and how u did the problem. leave answer in simplest logarithmic form

Sagot :

[tex]3\cdot { 2 }^{ x }={ 6 }^{ x-1 }\\ \\ 3\cdot { 2 }^{ x }=\frac { { 6 }^{ x } }{ 6 } \\ \\ 18\cdot { 2 }^{ x }={ 6 }^{ x }\\ \\ 18=\frac { { 6 }^{ x } }{ { 2 }^{ x } }[/tex]

[tex]\\ \\ 18=\frac { { \left( 3\cdot 2 \right) }^{ x } }{ { 2 }^{ x } } \\ \\ 18=\frac { { 3 }^{ x }{ \cdot 2 }^{ x } }{ { 2 }^{ x } } \\ \\ { 3 }^{ x }=18\\ \\ \log _{ 3 }{ 18=x }[/tex]

[tex]\\ \\ x=\log _{ 3 }{ \left( 9\cdot 2 \right) } \\ \\ x=\log _{ 3 }{ 9+\log _{ 3 }{ 2 } } \\ \\ x=2+\log _{ 3 }{ 2 } \\ \\ [/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.