Question

Question 8 (1 point)

Answer 1

Answer:

solution is x=3

Step-by-step explanation:

$logx-log3=log(x-2)$

apply log property

log a- log b= log a/b

$logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)$

we have log on both sides

so we remove the log and make the arguments equal

$\frac{x}{3} = x-2$

solve for x, multiply whole equation by 3

$x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3$

now plug in 3 for x  and check

$logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0$

solution is x=3