Problem 749 Write \(1 / 2=\log _{9} 3\) in e... [FREE SOLUTION]

Chapter 26: Problem 749

Write \(1 / 2=\log _{9} 3\) in exponential form.

Short Answer

Expert verified

The given logarithmic equation, \(\frac{1}{2} = \log_9 3\), can be rewritten in exponential form as \(9^{\frac{1}{2}} = 3\).

Step by step solution

Identify the base, exponent, and result in the logarithmic equation

In our given equation, \(\frac{1}{2} = \log_9 3\), the base is \(b = 9\), the exponent is \(c = \frac{1}{2}\), and the result is \(a = 3\).

Rewrite the equation in exponential form

Using the relationship between logarithmic and exponential forms, we can rewrite the given equation as: \[ 9^{\frac{1}{2}} = 3\] In this way, we have converted our original logarithmic equation, \(\frac{1}{2} = \log_9 3\), into the equivalent exponential form, \(9^{\frac{1}{2}} = 3\).

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91影视

Write \(1 / 2=\log _{9} 3\) in exponential form.

Short Answer

Step by step solution

Identify the base, exponent, and result in the logarithmic equation

Rewrite the equation in exponential form

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