Solving Log Equations (Leaving Cert Mathematics): Flashcards

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Solving Log Equations
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log⁡a(xy)=\log_a(xy)= ?

log⁡ax+log⁡ay\log_ax+\log_ay

log⁡a(xq)=\log_a(x^q)= ?

qlog⁡axq\log_ax

log⁡a(1x)=\log_a(\frac{1}{x})= ?

−log⁡ax-\log_ax

log⁡a(xy)=\log_a(\frac{x}{y})= ?

log⁡ax−log⁡ay\log_ax-\log_ay

log⁡a(1)=\log_a(1)= ?

00

log⁡a(ax)=\log_a(a^x)= ?

xx

Constraint on argument of a log

Must be positive

Approximate value of ee

2.71828...2.71828...

What does ee represent?

Growth

Base of natural log

ee

Natural log notation for log⁡e(x)\log_e(x)

ln⁡(x)\ln(x)

If log⁡b(x)=y\log_b(x) = y, then x=x= ?

byb^y

Why verify solutions in log equations?

To check for negative arguments

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