When you have tough math problems with exponential and logarithmic functions, there are some helpful methods you can try:

1. Logarithm Rules: You can use rules like the product rule, quotient rule, and power rule to make things simpler. For example, if you have $\log_a(xy) = \log_a(x) + \log_a(y)$ this can help break down complicated expressions.

2. Change of Base Formula: This tool lets you change logarithms into an easier form: $\log_a(b) = \frac{\log_c(b)}{\log_c(a)}$

3. Isolate the Exponential or Logarithmic Function: Sometimes, rearranging the equation can help you solve it easier. For example, if you want to solve $e^x = 5$, you can take the natural logarithm of both sides: $x = \ln(5)$

4. Graphing Solutions: Drawing the functions on a graph can help you see where they meet. This can show you possible solutions more clearly.

5. Guess and Check Methods: For really hard equations, you can use methods like Newton's method to find approximate answers.

By using these strategies, solving these types of equations can become a lot easier!