To solve this equation, we can start by using the logarithmic property that says log(a^b) = b * log(a).
Given: log11(3-x) = 2 * log11(√3)
Using the property mentioned above, we can rewrite this equation as:
log11(3-x) = log11(√3)^2
Now we can simplify the right side:
log11(3-x) = log11(3)
Since the logarithm is the same on both sides, we can remove the log term:
3 - x = 3
Now, solve for x:
-x = 0
x = 0
Therefore, the solution to the equation log11(3-x) = 2 * log11(√3) is x = 0.
To solve this equation, we can start by using the logarithmic property that says log(a^b) = b * log(a).
Given: log11(3-x) = 2 * log11(√3)
Using the property mentioned above, we can rewrite this equation as:
log11(3-x) = log11(√3)^2
Now we can simplify the right side:
log11(3-x) = log11(3)
Since the logarithm is the same on both sides, we can remove the log term:
3 - x = 3
Now, solve for x:
-x = 0
x = 0
Therefore, the solution to the equation log11(3-x) = 2 * log11(√3) is x = 0.