EngliSea > M > math > 25 Exponent, root and logarithm

+plus (−minus) ↺ ·times (/over) ↺ ˄to (˅root ⍻log)
 
Expansion of Numbers and Operations
17366 SHARED
 
Expansion of Numbers and Operations
+addition (−subtraction) ↺ ·multiplication (/division) ↺ ˄exponentiation (˅root ⍻logarithm)
4882 SHARED
 
Exponentiation Properties
① (p˄m)·(p˄n) = p˄(m+n) ② (p˄m)˄n = p˄(m·n) ③ (p·q)˄n = (p˄n)·(q˄n)
5283 SHARED
 
Logarithm Properties
① 1⍻b = 0 ② b⍻b = 1 ③ (b˄x)⍻b = x ④ b˄(x⍻b) = x ⑤ (x˄p)⍻b = p·(x⍻b) ⑥ x⍻b = (x⍻c)/(b⍻c) ⑦ (x·y)⍻b = x⍻b+y⍻b ⑧ (x/y)⍻b = x⍻b-y⍻b
9666 SHARED
 
05 Exponents In Algebra
Algebra Basics: Exponents In Algebra - Math Antics
3799 SHARED
 
07 Square Roots, Cube Roots, and Other Roots
3800 SHARED
 
08 Simplifying Expressions With Roots and Exponents
Simplifying Expressions With Roots and Exponents
3801 SHARED
 
Pillow English Listening
 
09 Solving Algebraic Equations With Roots and Exponents
Solving Algebraic Equations With Roots and Exponents
3802 SHARED
 
14 Understanding Exponents and Their Operations
3804 SHARED
 
40 Evaluating and Graphing Exponential Functions
3803 SHARED
 
41 Logarithms Part 1
When we say log base b of x equals y, we are saying b to the y equals x. With logs, the base of the log raised to the power of what's on the other side of the equal sign will equal the number that the log is operating on.
3638 SHARED
 
42 Logarithms Part 2
Base Ten Logs, Natural Logs, and the Change-Of-Base Property
3639 SHARED
 
43 Logarithms Part 3
Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
3640 SHARED
 
44 Solving Exponential and Logarithmic Equations
3464 SHARED
 
Change of base
Log base b of n. What power should I put in the exponent of b so b to that power will give me n.
3798 SHARED
 
exponential function
You can expect the difference between one x value at any point to be the same as any other.
3625 SHARED
 
◌◌◌ Exponentiation
b˄n is called "b raised to the n-th power", "b raised to the power of n", "the n-th power of b", "b to the n-th", or most briefly as "b to the n"
9671 SHARED
 
◌◌◌ Interest
Simple And Compound Interest And Spreadsheet Intro
9774 SHARED
 
◌◌◌ Logarithm
"the log, base b, of x" "To what power must b be raised, in order to yield x?"
9638 SHARED
 
Logarithm Equations
9772 SHARED
 
Logarithms Explained
In the same way that division is the inverse of multiplication a logarithm is just the inverse of exponentiation.
3738 SHARED
 
Logarithms Explained
What is the power that I should raise this base to in order to get this number?
9635 SHARED
 
Logarithms Explained
Anytime you see log base b of some number n, you can think about it as asking the question "What power do I need to put in my exponent to get b to that power equal to this number n?"
9637 SHARED
 
x⍻b
ᐥWhat power do you have to raise b to in order to get x?ᐥ
17402 SHARED

-