Chapter 10: Q7. (page 535)

Write the equation $\log_{36} (6) = \frac{1}{2}$ in exponential form.

Short Answer

Expert verified

The required exponential form is $6 = 36^{\frac{1}{2}}$ .

Step by step solution

Step 1. Write down the given equation.

The given logarithmic equation is $\log_{36} (6) = \frac{1}{2}$ .

Step 2. Converting logarithmic equation to exponential form.

The exponential form of $\log_{36} (6) = \frac{1}{2}$ is written as:

$\begin{array}{l} \log_{36} (6) = \frac{1}{2} .... (Given) \\ 6 = {(36)}^{\frac{1}{2}} .... (\begin{array}{l} Applyexponential \\ form \end{array}) \\ 6 = 36^{\frac{1}{2}} \end{array}$

Step 3. Conclusion.

The required exponential form is $6 = 36^{\frac{1}{2}}$ .

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Write the equation $\log_{36} (6) = \frac{1}{2}$ in exponential form.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Converting logarithmic equation to exponential form.

Step 3. Conclusion.

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Write the equation log366=12 in exponential form.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Converting logarithmic equation to exponential form.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Write the equation $\log_{36} (6) = \frac{1}{2}$ in exponential form.