ALG2.MATH.5.D
Solve exponential equations of the form y = abx where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions; and October 2015 Update Page 7 §111.C. High School.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
exponential equationformvariablereal numberbaselogarithmic equationsolution
Skills
- solve (exponential equations of the form y = ab^x) #dok2
- solve (single logarithmic equations with real solutions) #dok2
- identify (parameters a and b in exponential equations) #dok1
- apply (properties of exponents and logarithms to solve equations) #dok2
- justify (solution steps and check accuracy) #dok3
Learning Targets
- I can identify the values of a and b in an exponential equation of the form y = ab^x. #dok1
- I can solve exponential equations of the form y = ab^x for real solutions. #dok2
- I can solve single logarithmic equations that have real solutions. #dok2
- I can apply properties of exponents and logarithms to manipulate equations. #dok2
- I can check and justify my solutions to exponential and logarithmic equations. #dok3
Big Ideas
- Exponential and logarithmic equations can be solved using algebraic properties to find real solutions.
- Understanding the structure and parameters of exponential and logarithmic equations helps solve real-world and mathematical problems.
Essential Questions
- How do you solve an exponential equation for a variable when the variable is in the exponent?
- What steps are needed to solve a single logarithmic equation with a real solution?
- How can algebraic properties of exponents and logarithms help solve equations?
- Why do we sometimes need to check for extraneous solutions or restrictions when solving logarithmic equations?
- What real-world situations can be modeled and solved using exponential and logarithmic equations?