To solve the equation , start by expressing 25 as a power of 5, since . This gives us , which simplifies to . Now, because the bases are the same, we can set the exponents equal to each other:

Next, solve for by first dividing both sides by 2:

Finally, add 5 to both sides:

So, .

That’s how you crack a logarithmic equation! But remember, it’s always good fun to try graphing both sides to see where they intersect – it gives a visual sense of your solution! Also, pay attention to details like base conversions; they can make or break your equation-solving flow. Keep practicing!