# exponents & logarithms

** Quick links**:

►

**downloadable teaching materials for exponents & logarithms**

► syllabus content for the Algebra Topic:

**SL syllabus**(see syllabus section 1.2);

**HL syllabus**(see syllabus section 1.2).

It's absolutely critical that students have a firm understanding of the relationship between exponential expressions/functions and logarithmic expressions/functions. When covering this material it is a good time to review inverse functions - and to demonstrate/explain that is the inverse of . I find it helpful to begin visually. For example, show students graphs of logarithmic functions like the one below and ask questions such as:

**1.** The function graphed is .

What is the value of * k* ?

**2.** State the domain and range of the function * f*.

**3.** Find the inverse of * f*, that is find .

**4.** State the domain and range of .

**5.** Using a GDC, find all points of intersection for and . The points of intersection lie on what line? Why?

__4 questions__ - ‘accessible’ to ‘discriminating’

__4 questions__-

download: 4_Qs_exponents_logarithms_1_with_answers

### ♦ teaching materials

EXS_1-2-20v2_SLHL_logarithms

Exercise set for basic review of logarithms (corrected version)

EXS_1-2-25v1_HL_exponents logarithms

Exercise set for exponential & logarithmic expressions & equations

Test_SLHL_exp_log_functns_v1

Test suitable for SL and HL covering exponential and logarithmic functions (solution key below)

Test_SLHL_exp_log_functns_v1_SOL_KEY

Complete solution key for the exponential & logarithmic functions test above

Test_HL_exp_log_functions_v1

Test for HL students covering exponential and logarithmic functions (includes answers on last page)