/*! 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 51 Evaluate each logarithm. $$ ... [FREE SOLUTION] | 91影视

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Chapter 9: Problem 51

Evaluate each logarithm. $$ \log _{4} 64 $$

Short Answer

Expert verified
The logarithm \(\log _{4} 64\) is equal to 3.

Step by step solution

01

Understanding logarithm notation

The logarithm notation \( \log {4} {64} \) means that we are trying to find a number that, when 4 is raised to the power of that number, will give 64. In notation format, this can be written as: \( 4^x = 64 \)
02

Finding power of base

Now we need to find 'x' that satisfy \( 4^x = 64 \). We know that \( 4^3 = 64 \). Therefore, x = 3.
03

Writing solution

Now that we found our value of x, we can write our solution. The evaluation of \( \log {4} {64} \) is 3

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Most popular questions from this chapter

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