Exponential And Logarithmic Functions

Taking on both sides, we get x = =

Given and . The equations are:

.
We need to find .

Step 1: Simplify the logarithmic expressions
For :

For :

Step 2: Calculate the logarithmic expressions
Expressing and in terms of their logarithms:

Step 3: Solve the equations
We'll now find exact expressions for and via substitution or elimination:

• Use the simplified logs to solve for and .

First, solve for one variable using substitution or elimination techniques.
Step 4: Calculate

• From the simplified and solved values of and , compute .

Upon computing, we find: