When solving the problem 4^5x−3=16^x+6, your friend does the following:
4^5x−3=4(x+6)
5x−3=x+6
4x=9
x=9/4
Was this correct?
(1 point)
Responses
No, in step 2, the 4 should have been distributed to the current exponents. This would change the equation and yield a different final answer.
No, the bases of 4 and 16 should have both been changed to a base of 2, giving us 2^2 and 2^4 respectively.
Yes, this is correct. No error was made.
No, in step 1 when the 16 changed to 4, it should have been 4^2 and the 2 distributed to the current exponent.
No, in step 2, there was an error in simplifying the equation. The correct simplification should be 4^(5x-3) = 4^(2(x+6)).
Therefore, the correct answer would be x = 5/2.