Logarithms (VCE SSCE Mathematical Methods): Quizzes

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Logarithms
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Which logarithmic form is equivalent to 53=1255^3 = 125?

log⁡5125=3\log_5 125 = 3

For which values is log⁡ay\log_a y NOT defined?

When yy is zero or negative

What is the value of log⁡381\log_3 81?

4

What is the alternative notation for log⁡ex\log_e x?

ln⁡x\ln x

What is log⁡101000\log_{10} 1000?

3

Using the product law, log⁡a(mn)\log_a(mn) equals:

log⁡am+log⁡an\log_a m + \log_a n

Using the quotient law, log⁡a(mn)\log_a\left(\frac{m}{n}\right) equals:

log⁡am−log⁡an\log_a m - \log_a n

What does log⁡a(mp)\log_a(m^p) equal according to the power law?

plog⁡amp \log_a m

What is the value of log⁡a1\log_a 1 for any valid base aa?

0

If log⁡2x=5\log_2 x = 5, what is xx?

32

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Solution of Exponential Equations Using Logarithms

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Solution of Exponential Equations Using Logarithms

Inverses

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Explore VCE SSCE Mathematical Methods Model Answers by Topics

The Index Laws

Rational Indices

Graphs of Exponential Functions

Solving Exponential Equations and Inequalities

Using Logarithms to Solve Exponential Equations and Inequalities

Exponential Models and Applications

Logarithms

Graphing Logarithmic Functions

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Show more

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Explore VCE SSCE Mathematical Methods Flashcards by Topics

The Index Laws

Rational Indices

Graphs of Exponential Functions

Solving Exponential Equations and Inequalities

Using Logarithms to Solve Exponential Equations and Inequalities

Exponential Models and Applications

Logarithms

Graphing Logarithmic Functions

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Show more

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

The Index Laws

Rational Indices

Graphs of Exponential Functions

Solving Exponential Equations and Inequalities

Using Logarithms to Solve Exponential Equations and Inequalities

Exponential Models and Applications

Logarithms

Graphing Logarithmic Functions

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Show more

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

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