Short answer: it will be fine assuming your burst disk is not old and worn out.
Long answer. If you use the ideal gas law, you can come up with the equation P2/P1 = T2/T1 where P is the pressure (in ATM) and T is temperature (in Kelvin). Lucky for us, to convert PSI to ATM, we just need to diving PSI by 14.3. As a result, we can use PSI instead of ATM. Unfortunately, we can't do the same with temperature. We actually have to convert Fahrenheit to Kelvin. The equation for converting F to K is:
K = (F-32) x 5/9 + 273
Or you can use many of the conversion website or calculator to do it for you.
So lets assume your tank is at 3000PSI at 80F (which is 300K). So P1 = 3000 psi and T1 = 300K. Let assume your burst disk is designed to "fail" at 125% of the working pressure (or 3750 psi in our case). So P2 = 3750 psi. With that info, we can find out what temperature the disk will fail.
So using the equation above p2/p1 = t2/t1 and rearranging it, we get t2 = t1 * p2 / p1 .
t2 = 300K * 3750 psi / 3000 psi = 375K
375 K = 215 F. At sea level, water boils at 212F. So you have to get it pretty damn hot to burst those disk (unless the disk is already prone to failure due to metal fatigue).