Video: Converting an Equation from Logarithmic to Exponential Form

Express log₆ (1/36) = −2 in its equivalent exponential form.

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Video Transcript

Express log base six of one thirty-sixth equal to negative two in its equivalent exponential form.

We can follow a circle pattern going from logarithmic form to exponential form and vice versa: 𝑎 to the sixth power equals 𝑏. So using that circle method, six to the negative second power equals one thirty-sixth. And we can double check this because six to the negative second power is the same as one over six squared to make the exponent positive, and six squared is 36.

Therefore, six to the negative second power is equal to one thirty-sixth.

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