Logarithms (Leaving Cert Mathematics): Quizzes

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Solving Log Equations
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What does log⁡a(xy)\log_a(xy) equal according to log rules?

log⁡ax+log⁡ay\log_ax + \log_ay

What is log⁡a(xq)\log_a(x^q) equal to?

qlog⁡axq\log_ax

What does log⁡a(xy)\log_a(\frac{x}{y}) simplify to?

log⁡ax−log⁡ay\log_ax - \log_ay

What is the value of log⁡a1\log_a1?

00

What does log⁡a(1x)\log_a(\frac{1}{x}) equal?

−log⁡ax-\log_ax

According to the notes, what restriction on log arguments is emphasized?

Cannot be negative

What is the approximate value of ee?

2.718282.71828

What does ln⁡(x)\ln(x) represent?

log⁡e(x)\log_e(x)

If log⁡b(x)=y\log_b(x) = y, what does xx equal?

byb^y

In what year was ee discovered when studying compound interest?

16831683

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