Whether you're a student or a professional, IDNLearn.com has answers for everyone. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.
Sagot :
Answer:
X = 6
Step-by-step explanation:
To solve the equation log2(3x10) = log2(14-x), we can use the property of logarithms that states if loga (x) = loga (y), then x = y.
1. Set the expressions inside the logarithms equal to each other:
3x1014-x
2. Simplify the equation by solving for x:
3x+x=14+10
4x = 24
X = 6
Therefore, the solution to the equation is x = 6.
Answer:
x = 6
Step-by-step explanation:
Using the property of logarithms
• [tex]log_{b}[/tex] x = [tex]log_{b}[/tex] y ⇒ x = y
given
[tex]log_{2}[/tex] (3x - 10) = [tex]log_{2}[/tex] (14 - x) , then
3x - 10 = 14 - x ( add x to both sides )
4x - 10 = 14 ( add 10 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.
