Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for xx. \newline4x=644^x = 64\newlineWrite your answer in simplest form.

Full solution

Q. Solve for xx. \newline4x=644^x = 64\newlineWrite your answer in simplest form.
  1. Identify Power of 44: Rewrite 6464 as a power of 44, since 6464 is 44 times itself 33 times, we get 434^3.
  2. Set Up Equation: Set the equation 4x=434^x = 4^3.
  3. Solve for xx: Since the bases are the same, we can set the exponents equal to each other, so x=3x = 3.

More problems from Solve exponential equations by rewriting the base