Video: Converting an Equation from Logarithmic to Exponential Form

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

00:43

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. π‘Ž to the π‘₯ 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.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.