Final answer:
The student's question involves finding the value of 'x' in several exponential equations, which is a topic in high school-level mathematics. Solutions would require knowledge of logs and exponentiation, and some questions involve using scientific notation properly.
Step-by-step explanation:
The student is asking to find the value of 'x' in four different exponential equations. This falls under the subject of Mathematics and is typically taught at the High School level. Solving exponential equations often involves using logarithms and a calculator. Unfortunately, without knowing the specific methods the student has been taught or is permitted to use, it is difficult to provide a step-by-step solution. Moreover, not all the equations provide enough information for an outright solution, and it may be a matter of applying more complex algebraic methods or numerical methods to solve them.
It is important to use scientific notation to express very large or small numbers in a simplified form, which is what parts of the question indicate. The process involves identifying the power of 10 that the decimal place needs to be moved to create a number between 1 and 10, then multiplying by 10 raised to the appropriate exponent.
Examples of questions in the list that apply scientific notation solutions include calculations with numbers written in scientific notation, expression evaluation requiring a calculator, and conversion between ordinary numbers and scientific notation.