Answer :
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
