If it is known that, for example, x^3 = 200; is there a way of working out the value of x with just this information?

zeller

Yes by using logarithms: x^3 = 200 taking logs to both sides(base 10) log x^3 = log 200 using laws of logarithms 3log x = log 200 so 3 log x = 2.3 log x = 2.3 ÷ 3 log x = 0.77 taking antilogs to both sides x = 5.9 (approx) Easy really!! Oct 20 06, 5:20 AM

malarson

Or just do the cube root of both sides. Oct 20 06, 7:23 AM

zeller

Lol that is true - I read it as 3^x in which case logarithms would do of course! Oct 20 06, 2:00 PM

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