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Chapter 10: Q1. (page 535)

Give an example of an exponential equation and its related logarithmic equation.

Short Answer

Expert verified

The example of an exponential equation and its related logarithmic equation is $3^{x} = 90, x = \log_{3}^{90}$ .

Step by step solution

01

Step 1. Given Information.

An example of an exponential equation and its related logarithmic equation is to be given.

02

Step 2. Explanation.

An exponential equation of the form $a^{b} = c$ is written in logarithmic form as $b = \log_{a}^{c}$

Considering the general form and writing an example of an exponential equation:

$3^{x} = 90$

So, the logarithmic form is written as:

$x = \log_{3}^{90}$

03

Step 3. Conclusion.

Hence, an example of an exponential equation and its related logarithmic equation is $3^{x} = 90, x = \log_{3}^{90}$ .

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Most popular questions from this chapter

Write the equation $5^{4} = 625$ in logarithmic form.

Determine whether the function $y = 10 {(3.5)}^{x}$ represents exponential growth or decay.

Write an exponential function whose graph passes through the points $(0, - 5) and (- 3, - 135)$ .

Find $g [h (x)] and h [g (x)]$ for the functions $h (x) = 2 x - 1 and g (x) = x - 5$ .

Graph the pair of functions $y = {(\frac{1}{4})}^{x} and y = {(\frac{1}{4})}^{x} - 1$ on the same screen. Then compare the graphs, listing both similarities and differences in shape, asymptotes, domain, range and y-intercept.

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