Exponential Laws
Logarithmic Laws
Expanding expressions
Simplifying expressions
Changing Exponential to Logarithmic or opposite
100
x^2 x x^6
x^8
100
log (base b) (X) + log (base b) (Y)
log (base b) (XY)
100
log (base 8) (6) ^4
4 x log (base 8) (6)
100
log (base b) (50) + log (base 5) (40)
log (base b) (50x40) log (base b) 2000
100
log (base 2) (8) = 3
2^3=8
200
2^3+2^2
12
200
log (base x) X
1
200
log (base 8) (9) + log (base 8) (2)
log (base 8) (18)
200
5log (base b) (10)
log (base b) (10) ^5 log (base b) 100,000
200
a^7=5
log (base a) (5) = 7
300
x^0
1
300
lob (base Y) (Y) ^X
X
300
log (base 8) (9/2)
log (base 8) (9) - log (base 8) (2)
300
log (base 10) (41) - log (base 10) (3)
log (base 10) (41/3)
300
y=log (base 7) 49
y=2
400
(xy)^4
x^4y^4
400
Rewrite: log (base a) (x) ^p
P log (base a) (x)
400
log (base 8) 7 ^6
6log (base 8) 7
400
4log (base b) (3) + log (base b) (2)
log (base b) (162)
400
b^r=21/3 log (base b) 8= r
b^r=2
500
3√x^2
x^4/3
500
log (base b) (x/y)^3
3log (base b) X- 3 log (base b) Y
500
log (base 5) (6^7)
7 x log (base 5) (6)
500
log (base 8) (8) ^6 x log (10)
6
500
y^7 x y^3 = w
log (base y) (W)= 10
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