/*! 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 10 Write in logarithmic form. $$3... [FREE SOLUTION] | 91影视

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Chapter 10: Problem 10

Write in logarithmic form. $$36^{1 / 2}=6$$

Short Answer

Expert verified
\( \log_{36}{6} = \frac{1}{2} \)

Step by step solution

01

Identify the Components

Locate the base, the exponent (power), and the result from the given exponential equation. In the equation \(36^{1 / 2} = 6\), the base is 36, the exponent is \( \frac{1}{2} \), and the result is 6.
02

Understand the Logarithmic Form

Recall that the logarithmic form of an exponential equation \(a^b = c\) is written as \( \log_a{c} = b \). Our goal is to reformat the given equation using this structure.
03

Convert to Logarithmic Form

Apply the components identified to the logarithmic format. Write \(36^{1 / 2} = 6\) as \( \log_{36}{6} = \frac{1}{2} \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Exponential Equations
Exponential equations involve expressions where a variable appears in the exponent. They often look like this: \(a^b = c\). Here, the value of the base (\

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Most popular questions from this chapter

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