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Logarithmic Form Express the equation in logarithmic form.$$\text { (a) } 4^{-3 / 2}=0.125 \quad \text { (b) } 7^{3}=343$$

(a) \(\log_{4}{0.125}=-\frac{3}{2}\) (b) \(\log_{7}{343}=3\)

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Functions

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Lectures

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 for this problem, remember, If you want to go for from exponential form to leverage form, we can use the form that be to the X Power is equal to K. Could be converted to log based be of KZ two X and so So let's do this for A and B. Well, our base is is four. So we have logged base for of 0.1 to 5. And so this gives us negative three APS. And so, for B R. Base is seven. So we have logged based seven of 3 43 is equal to three. And so So these are our solutions. These are our solutions.

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