Question Video: Converting an Equation from Exponential to Logarithmic Form | Nagwa Question Video: Converting an Equation from Exponential to Logarithmic Form | Nagwa

# Question Video: Converting an Equation from Exponential to Logarithmic Form Mathematics • Second Year of Secondary School

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Express (343/8)¹ᐟ³ = 7/2 in its equivalent logarithmic form.

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### Video Transcript

Express three hundred and forty-three eighths to the one-third power is equal to seven-halves in its equivalent logarithmic form.

We can go from the exponential form to the logarithmic form using this formula. It follows the circle pattern: 𝑎 to the 𝑥 equals 𝑏. Therefore, using our equation, 𝑎 to the 𝑥 equals 𝑏.

Therefore, log base three hundred and forty-three eighths of seven-halves is equal to one-third.

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