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

+plus (−minus) ↺ ·times (/over) ↺ ˄to (˅root ⍻log)
 
Expansion of Numbers and Operations
5216#17366 SIBLINGS CHILDREN 17366
 
Expansion of Numbers and Operations
+addition (−subtraction) ↺ ·multiplication (/division) ↺ ˄exponentiation (˅root ⍻logarithm)
5216#4882 SIBLINGS CHILDREN 4882
 
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)
5216#5283 SIBLINGS CHILDREN 5283
 
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
5216#9666 SIBLINGS CHILDREN 9666
 
05 Exponents In Algebra
Algebra Basics: Exponents In Algebra - Math Antics
5216#3799 SIBLINGS CHILDREN 3799
 
07 Square Roots, Cube Roots, and Other Roots
5216#3800 SIBLINGS CHILDREN 3800
 
08 Simplifying Expressions With Roots and Exponents
Simplifying Expressions With Roots and Exponents
5216#3801 SIBLINGS CHILDREN 3801
 
09 Solving Algebraic Equations With Roots and Exponents
Solving Algebraic Equations With Roots and Exponents
5216#3802 SIBLINGS CHILDREN 3802
 
14 Understanding Exponents and Their Operations
5216#3804 SIBLINGS CHILDREN 3804
 
40 Evaluating and Graphing Exponential Functions
5216#3803 SIBLINGS CHILDREN 3803
 
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.
5216#3638 SIBLINGS CHILDREN 3638
 
42 Logarithms Part 2
Base Ten Logs, Natural Logs, and the Change-Of-Base Property
5216#3639 SIBLINGS CHILDREN 3639
 
43 Logarithms Part 3
Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
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44 Solving Exponential and Logarithmic Equations
5216#3464 SIBLINGS CHILDREN 3464
 
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.
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exponential function
You can expect the difference between one x value at any point to be the same as any other.
5216#3625 SIBLINGS CHILDREN 3625
 
Pillow English Listening
 
◌◌◌ 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"
5216#9671 SIBLINGS CHILDREN 9671
 
◌◌◌ Interest
Simple And Compound Interest And Spreadsheet Intro
5216#9774 SIBLINGS CHILDREN 9774
 
◌◌◌ Logarithm
"the log, base b, of x" "To what power must b be raised, in order to yield x?"
5216#9638 SIBLINGS CHILDREN 9638
 
Logarithm Equations
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Logarithms Explained
In the same way that division is the inverse of multiplication a logarithm is just the inverse of exponentiation.
5216#3738 SIBLINGS CHILDREN 3738
 
Logarithms Explained
What is the power that I should raise this base to in order to get this number?
5216#9635 SIBLINGS CHILDREN 9635
 
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?"
5216#9637 SIBLINGS CHILDREN 9637
 
x⍻b
ᐥWhat power do you have to raise b to in order to get x?ᐥ
5216#17402 SIBLINGS CHILDREN 17402

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