/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 24 Evaluate each expression without... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 24

Evaluate each expression without using a calculator. $$\log _{3} 27$$

Short Answer

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3

Step by step solution

01

Identify the Logarithmic Base and Result

The statement \(\log _{3} 27\) can be seen as follows: what power should 3 be raised to, in order to get 27? Putting it another way, this is the same as asking: \(3^x = 27\). The logarithmic base is 3 and the result is 27.
02

Identify the response

We need to know the power we can raise 3 to, which will give 27. Here, the power is the \(x\) in the equation from step 1. The power in our case is 3 since \(3^3 = 27\). Therefore, \(x = 3\).
03

Final Answer

To evaluate the expression \(\log _{3} 27\), the answer is the power to which 3 must be raised to get 27, which is 3.

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Most popular questions from this chapter

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