Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

log9(x^2-4x)=log9(3x-10)

Sagot :

Answer:

x=5 or x=2

Step-by-step explanation:

step 1st

[tex] log_{9}( {x}^{2} - 4x ) = log_{9}(3x - 10) [/tex]

we can cancel log when they have same base

so , we can write

x²-4x = 3x-10

step 2nd x²-4x-3x+10=0

step 3rd x²-7x+10=0

it becomes a quadratic equation so we will be solved this equation by split method.

step 4th x²-5x-2x+10=0

step 5th x(x-5)-2(x-5)=0

step 6th (x-5)(x-2)=0

step 7th Now, x-5=0 or x-2=0

x=5 or x=2

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. 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.