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. \newline16=4x16 = 4^x \newlinex=x = ______

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form. \newline16=4x16 = 4^x \newlinex=x = ______
  1. Rewrite as power of 44: Rewrite 1616 as a power of 44. 1616 is 44 squared, so 16=4216 = 4^2.
  2. Set exponents equal: Set the exponents equal to each other since the bases are the same.\newline4x=424^x = 4^2\newlineSo, x=2x = 2.

More problems from Solve exponential equations by rewriting the base