At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The value of x is 3.
Given
The following expression:
[tex]\rm log_3(x+12)=log_3(5x)[/tex]
What properties for Logarithms are used to solve the equation?
The following properties are used in the logarithms equation given below.
The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The bases are equal, the arguments are also equal;
Therefore,
[tex]\rm log_3(x+12)=log_3(5x)\\\\x+12=5x\\\\5x-x=12\\\\4x=12\\\\x=\dfrac{12}{4}\\\\x=3[/tex]
Hence, the value of x is 3.
To know more about logarithms properties click the link given below.
brainly.com/question/26053315
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.