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Logarithmic Form Express the equation in logarithmic form.$$\text { (a) } 8^{-1}=\frac{1}{8} \quad \text { (b) } 2^{-3}=\frac{1}{8}$$

(a) \(\log_{8}{\frac{1}{8}}=-1\) (b) \(\log_{2}{\frac{1}{8}}=-3\)

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Functions

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01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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so remember that if we wanted to convert an exponential equation into large rhythmic form Well, if we have be raised to the X power is equal to K, we can rewrite this as log base B okay is equal to X and so well, you can solve a and B here. So for a are logged, we have a base of eight. We have logged based eight of 1/8 gives us a negative one. And for B, we have we have log base to of won over eight is equal to negative three. And so these these are our solutions for and be.

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