Question

The solution to the exponential equation 172(2)x=272
can be found without the use of an over/under table as the solution is an integer value. Find the solution.(1 point)

The solution is x=8
.

The solution is x=5
.

The solution is x=11.17
.

The solution is x=11
.

Answer 1

The equation as written is ambiguous (the formatting of exponents is unclear). Could you re-type it using ^ for exponents and parentheses where needed? For example:
- 172*(2)^x = 272
- 17^(2x) = 27^2
- 17^2*(2)^x = 27^2
…etc.

If you meant 172·2^x = 272, then
2^x = 272/172 = 68/43, so x = log2(68/43) ≈ 0.662 (not one of the choices).

If you meant 17^2·2^x = 27^2, then
2^x = (27/17)^2 so x = 2·log2(27/17) ≈ 1.335 (not one of the choices).

If you meant something else, please confirm the exact equation and I’ll solve it.