Simplifying Expressions (Leaving Cert Mathematics): Quizzes

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Simplifying Expressions
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10 questions from this quiz

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What does log⁡a(xy)\log_a(xy) equal?

log⁡ax+log⁡ay\log_a x + \log_a y

What does log⁡a(xq)\log_a(x^q) simplify to?

qlog⁡axq\log_a x

What is log⁡a1\log_a 1 equal to?

00

Simplify log⁡a(ax)\log_a(a^x).

xx

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

log⁡ax−log⁡ay\log_a x - \log_a y

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

−log⁡ax-\log_a x

Simplify log⁡x2x+log⁡x2−x\log_x 2^x + \log_x 2^{-x}.

00

What is log⁡5(25)+log⁡5(125)\log_5(25) + \log_5(\frac{1}{25}) equal to?

00

If log⁡10x=(1+c)\log_{10}x=(1+c) and log⁡10y=(1−c)\log_{10}y=(1-c), what is xyxy?

100100

Simplify log⁡a(x3)+log⁡a(x2)\log_a(x^3) + \log_a(x^2).

5log⁡ax5\log_a x

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