To express ๐ in terms of ๐, we need to isolate ๐ on one side of the equation. Let's break down the steps to solve the equation:
Step 1: Use properties of logarithms to simplify the equation.
Since we have the sum in the left part, we can use the property of logarithms that states: logโ(๐) + logโ(๐) = logโ(๐๐).
Applying this property, we can rewrite the equation as:
logโ(๐) + logโ(2) = logโ(๐ยณ).
Step 2: Combine the terms on the left side of the equation.
Using another property of logarithms, we know that logโ(๐) + logโ(๐) = logโ(๐๐), we can combine the terms on the left side:
logโ(2๐) = logโ(๐ยณ).
Step 3: Remove the logarithm from the equation.
To remove the logarithm, we can apply the property: logโ(๐) = ๐ is equivalent to ๐ = ๐แถ.
Using this property, we can rewrite the equation as:
2๐ = ๐ยณ.
Step 4: Isolate ๐.
To isolate ๐, we need to divide both sides of the equation by 2:
๐ = ๐ยณ/2.
So, the expression for ๐ in terms of ๐ is ๐ = ๐ยณ/2.
None of the answer options provided match the expression we obtained.