How do you condense the expression $$\frac{\text{log}_b(x^6)}{\text{log}_b(y^3)}$$ ?

The expression can be condensed to $$\text{log}_bigg(\frac{x^6}{y^3}igg)$$ .

Expand the expression $$6\text{log}_4(u) - 36\text{log}_4(v)$$ .

The expression is already in expanded form.

What transformation occurs in the function $$g(x) = \text{log}_2(x - 3)$$ ?

The graph has been shifted 3 units to the right.

What is the value of $$\text{log}_{10}(100)$$ ?

The value is 2, since $$10^2 = 100$$ .

What is the value of $$\text{ln}(e^3)$$ ?

The value is 3, since $$\text{ln}(e^x) = x$$ .

What is the base of the logarithm in $$\text{log}_b(1)$$ ?

The value is always 0, since $$b^0 = 1$$ .

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

If $$\text{log}_b(x) = y$$ , what is the equivalent exponential form?

The equivalent exponential form is $$b^y = x$$ .

Logarithmic Review Flashcards

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FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

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