Question

Use the laws of exponents to solve for x in the equation 414x=434
.(1 point)

2

16

12


−12

Answer 1

I’m not sure how the exponents are meant to be parsed from "414x=434". Could you confirm the equation’s formatting? (For example, is it 4^(14x) = 4^(34), or 4^(1/4 x) = 4^(3/4), or something else?)

Meanwhile, here is the method and common interpretations:

- If the equation is 4^(14x) = 4^(34), then equate exponents:
14x = 34 → x = 34/14 = 17/7.

- If the equation is 4^(x/4) = 4^(3/4), then x/4 = 3/4 → x = 3.

- If the equation is 4^(14x) = 4^(3/4), then 14x = 3/4 → x = 3/56.

Tell me which one matches what you have (or paste it with parentheses or using ^ for exponents), and I’ll give the exact answer.