Why the answer to this problem 4^(5x-3)=1 is 3/5?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

You want to know why x = 3/5 is a solution for 4^(5x-3) = 1.

Now in 4^(5x-3) = 1, the solution of x is a value that if substituted for x makes the right hand side equal to the left hand side.

If we substitute x = 3/5 in the left hand side, we get

4^(5x-3)

=> 4^(5*(3/5)-3)

=> 4^(3 - 3)

=> 4^0

=> 1

This is equal to the right hand side.

Therefore we know that x = 3/5 is a solution for the equation  4^(5x-3) = 1.

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial