Solve exponential equations using properties of exponents (advanced)

The  exercise is under the Algebra II Math Mission. This exercise practices solving exponential equations by manipulating the expressions in the equations with the properties of exponents.

Types of Problems
There is one type of problems in this exercise:


 * 1) Solve the exponential equation for $$x$$.: This problem presents an exponential expression. The student is asked to solve for $$x$$ using properties of exponents and type the value in the text box below. Solve exponential equations using properties of exponents (advanced).PNG

Strategies

 * 1) To solve an exponential equation, students must first isolate the exponential part.
 * 2) Students should to rewrite one of the exponential terms in the equation so that the bases of the two terms are the same. Then, we will be able to equate the exponents and solve for $$x$$.

Real-life Applications

 * 1) Exponents are used in Computer Game Physics, pH and Richter Measuring Scales, Science, Engineering, Economics, Accounting, Finance, and many other disciplines.
 * 2) Exponential Growth is a critically important aspect of Finance, Demographics, Biology, Economics, Resources, Electronics and many other areas.
 * 3) Exponential Decay is associated with Light, Sound, Sporting Fixtures, Dangerous Chemicals, and Radioactive Waste.
 * 4) People who use Exponents are Economists, Bankers, Financial Advisors, Insurance Risk Assessors, Biologists, Engineers, Computer Programmers, Chemists, Physicists, Geographers, Sound Engineers, Statisticians, Mathematicians, Geologists and many other professions.