Video: Converting an Equation from Logarithmic to Exponential Form

Express log₃₄₃ 7 = 1/3 in its equivalent exponential form.


Video Transcript

Express log base 343 of seven equals one-third in its equivalent exponential form.

Going from logarithmic form to exponential form isn’t that bad. 𝑎 to the 𝑥 power equals 𝑏. You could almost think of it like a circle. So taking what we have, 343 to the one-third power equals seven, and that will be our final answer.

You can check this to see if it makes sense. Taking a number to a fraction of a power, in this case, one-third is the cube root, just like one-half is the square root, and the cube root of 343 is seven.

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