Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve. Write your answer as an integer or a fraction in simplest form.\newline3x=273^x = 27\newlinex=x = ______

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form.\newline3x=273^x = 27\newlinex=x = ______
  1. Rewrite as Power of 33: Rewrite 2727 as a power of 33.\newline2727 is 333^3 because 3×3×3=273 \times 3 \times 3 = 27.\newlineSo, 3x=333^x = 3^3.
  2. Set Exponents Equal: Set the exponents equal to each other since the bases are the same. x=3x = 3.

More problems from Solve exponential equations by rewriting the base