7.4-7.5 Flashcards

1
Q

Exponential form and log form

A

Ex- base ^exponent=#

Log- log(base)^#=exponent

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2
Q

What does evaluate

Log(3)^81 mean

A

Means 3 to what power gives you 81

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3
Q

Common log base

A

Log base 10

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4
Q

What is natural base

A

Log e

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5
Q

Inverse ln

A

Log e

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6
Q

Logarithmic function

A

Y= alog (X-h) +k

B

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7
Q

How to find parent of log function

A

Y= log base to x

So base^y=x

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8
Q

How to graph log function

A

Base^y=x
Plug in y points
Plot them
Translate h and k

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9
Q

0<b></b>

A

Down and away from y

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10
Q

B>1

A

Up and away from y

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11
Q

Log b ^(m*n) =

A

Log b m+ log b n

Add

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12
Q

Log b (m/n) =

A

Log b m- log b n

Subtract

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13
Q

Log h m^n =

A

N log b m
Distribute
Exponent just goes to front

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14
Q

Expand order

A

Quotient
Product
Power

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15
Q

Condense order

A

Power
Product
Quotient

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16
Q

Fix log b 3/7

A

Log b 3/7

= log b 3- log b 7

17
Q

Change of base formula

A

Log c a =

Log b a/ log b c