Questions: Write the equation in its equivalent logarithmic form. 2^3=8 What is the equivalent logarithmic form of the equation?

Write the equation in its equivalent logarithmic form. 2^3=8 What is the equivalent logarithmic form of the equation?
Transcript text: Write the equation in its equivalent logarithmic form. \[ 2^{3}=8 \] What is the equivalent logarithmic form of the equation? $\square$
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Solution

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Solution Steps

Step 1: Identify the given exponential form equation

Given the exponential form equation is \(a^b = x\), where \(a = 2\), \(b = 3\), and \(x = 8\).

Step 2: Convert the exponential form to logarithmic form using the formula

The equivalent logarithmic form is \(\log_{2} 8 = 3\).

Final Answer:

The logarithmic form of the given equation is \(\log_{2} 8 = 3\).

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