Hello, sorry if this is a repeat, seems like most of my questions do not go through on the first try.I could use help with this problem. Please see attachedThank you! **Rewriting Logarithmic Equations as Exponential Equations**In mathematics, we often need to convert equations from logarithmic form to exponential form to simplify or solve them. Let's look at the following example:**Given Logarithmic Equation:**\[ \log_3 27 = 3 \]**Objective:**Rewrite this logarithmic equation as an exponential equation.**Step-by-Step Solution:**1. **Identify the components of the logarithmic equation:** - The base \( 3 \) - The result \( 27 \) - The exponent \( 3 \)2. **Understand the relationship:** A logarithmic statement \( \log_b a = c \) means that \( b \) raised to the power of \( c \) equals \( a \).3. **Rewrite the equation in exponential form:**\[ 3^3 = 27 \]Therefore, the logarithmic equation \( \log_3 27 = 3 \) can be rewritten as the exponential equation \( 3^3 = 27 \). This shows the equivalent statement in exponential terms, confirming that when 3 is raised to the power of 3, the result is indeed 27.

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Answered: Rewrite as an exponential equation_…

Rewrite as an exponential equation_ log₂ 27=3

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 4E

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