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Chapter 12: Problem 17

Write each equation in its equivalent logarithmic form. $$b^{3}=1000$$

Short Answer

Expert verified
The logarithmic form of the equation \(b^{3}=1000\) is \(log_{b}(1000) = 3\).

Step by step solution

01

Identify Base, Exponent and Result

In the given equation \(b^{3} = 1000\), the base is 'b', the exponent is '3', and the result is '1000'.
02

Apply Logarithmic Form

Applying the equivalent logarithmic form to the equation: \(log_{b}(1000) = 3\)

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Most popular questions from this chapter

a. Evaluate: \(\log _{2} 16\) b. Evaluate: \(\log _{2} 32-\log _{2} 2\) c. What can you conclude about $$\log _{2} 16, \text { or } \log _{2}\left(\frac{32}{2}\right) ?$$

I can solve \(4^{x}=15\) by writing the equation in logarithmic form.

Without showing the details, explain how to condense \(\ln x-2 \ln (x+1)\)

Describe the power rule for logarithms and give an example.

Without using a calculator, determine which is the greater number: \(\log _{4} 60\) or \(\log _{3} 40\)
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