Exponentials + logs Flashcards by Nikita Saini

Q

What happens with …..
1. an increase in b
2. -(b^x)

A

increases the steepness of the line (gradient)
reflection in the x axis

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Q

What happens with …..
1. an increase in a
2. negative a

A

an increase in y intrcept
negative y intercept (a reflection in the x axis)

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Q

Relationship between a reciprocal base

A

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Q

A

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Q

what is the difference between exponetial growth curve and decay curve?

A

growth: population, disease
decay:

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Q

A

Asymptotes change

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Q

What are logarithms ?

A

The inverse of exponentials, gives the missing power

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Q

Convert log and exponential form

A

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Q

She thinks the logarithm graph

A

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Q

What is the Natural logarithm?

A

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Q

What is Euler’s number?

A

Where the gradient function = the function

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Q

What is the rule when differentiating exponential functions?

A

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What is the addition log law?

What is the proof for the addition log law?

What is the subtraction log law?

What is the proof for the subtraction log law?

What is the power law?

What is the change of base law?

What is the proof for the change in base law?

What is the answer for these ?

What is the simplified version for these logs expressions ?

What is

logs are NOT distributive

Use the log laws!

What are the 3 different types of logs?

What is linearisation and why is it done to exponentials?

Converting a function into straight line form: it becomes easier to collect information on them. This is done by Logs

Linearise the equation