To solve , we recognize that is a power of : specifically, . So we have . Therefore, , which gives us .

For the equation , we know that can be expressed as (since ). This leads us to set the exponents equal: . Solving that results in , or .

When it comes to , we can then express in terms of base since . Thus, we solve , resulting in .

In , we express both sides as powers of : and , leading us to the equation . This simplifies to , which gives or .

Lastly, for , notice that is not equal to - a common mistake rooted in miscalculating powers. Instead, . A great lesson: Always double-check your calculations and representations!