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Chapter 3: Problem 7

Write the logarithmic equation in exponential form. For example, the exponential form of \(\log _{5} 25=2\) is \(5^{2}=25\). $$\log _{4} 16=2$$

Short Answer

Expert verified
The logarithmic equation \( \log_{4}{16}=2 \) in exponential form is \( 4^{2}=16 \).

Step by step solution

01

Identify the parts of the logarithmic equation

Logarithmic equations are written in the form \( \log_{b}{x}=y \). Here, 'b' is the base, 'x' the number and 'y' the number on the other side of the equal sign. In the given equation \( \log_{4}{16}=2 \), '4' is the base, '16' is the number and '2' is on the other side of the equal sign.
02

Write in exponential form

In exponential form, this becomes \( b^{y}=x \). In terms of our equation, this is \( 4^{2}=16 \).

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