How do you solve $$\text{ln}(x) = 3.1$$ ?

To solve $$\text{ln}(x) = 3.1$$ , exponentiate both sides: $$x = e^{3.1} \text{ which is approximately } 22.198$$ .

What is the quotient rule for logarithms?

The quotient rule states that $$\text{log}_bigg(\frac{m}{n}igg) = \text{log}_b(m) - \text{log}_b(n)$$ .

What is the power rule for logarithms?

The power rule states that $$\text{log}_b(m^n) = n \times \text{log}_b(m)$$ .

What is the definition of an exponential function?

An exponential function is a mathematical function of the form $$f(x) = a \times b^x$$ , where $$a$$ is a constant, $$b$$ is the base, and $$x$$ is the exponent.

What is the relationship between logarithmic and exponential functions?

Logarithmic functions are the inverses of exponential functions. If $$y = b^x$$ , then $$x = \text{log}_b(y)$$ .

What is the base of a logarithm?

The base of a logarithm is the number that is raised to a power to obtain a certain value. For example, in $$\text{log}_b(a)$$ , $$b$$ is the base.

What is the domain of a logarithmic function?

The domain of a logarithmic function is the set of positive real numbers, as logarithms are only defined for positive arguments.

Logarithms & Logarithmic Equations all bases Flashcards

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What is the definition of a logarithm?

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