Solving Exponential Equation

[@Freedom-of-Thought]

x²¹=14 21 means it has 21 roots, so the answer is x=14^(1/21) & other 20 imagine number roots.

[@KasyannoEZMath]

Absolutely right! Thanks! Have a wonderful day!

[@kingofaltis6942]

I dont understand the step u doing at min 4:54.

[@KasyannoEZMath]

King of Altis, the left and right side of the equation is a perfect comparison of base and exponent. The left side term is split, base is X^21 and the same value exponent X^21. The right side base is 14 with same value exponent 14. This simply means X^21=14. I hope this would help. Have a great day!

[@classicman7297]

@@KasyannoEZMath in order to do the comparsion u have to make the base on both sites the same or am I missing a detail.

[@KasyannoEZMath]

​@@classicman7297 exponent rule is a ^a = b^b. this means a=b.

[@classicman7297]

@@KasyannoEZMath can u recommend me a website where I can read about that rule. I never used it before.

[@KasyannoEZMath]

It seems this one exponent rule is what I think unlisted or unwritten. Because what you see if you use Google are those common exponent rules that are normally used but no listed exponent comparison rule.