To keep my somewhat lengthy reply briefer than I want, I will say this. I will accept the concept of evolution
(that's macro-evolution for those of you keeping score), when scientists can explain how the Earth has to be very old (i.e. billions of years).
1. Radiometric dating of terrestrial and lunar rocks and meteorites has yielded a maximum age for solar system material of 4568.12 Myr and for terrestrial minerals of 4400 Myr.
2. Varved sediments cover time periods from a few thousand years to millions of years.
3. The sheer cumulative thickness of sedimentary rocks (>10 km for individual systems and >100 km for the sum of the maximum thicknesses of the individual systems) requires deposition over periods of >100 million years.
4. Surface exposures of high-grade metamorphic rocks, formed at depths of 10-40 km or more, require equally long periods of erosion.
5. Geodetic measurements of the movements of the tectonic plates show that times of >100 Myr are required to achieve the geologically observed displacements.
6. The presence of Permo-Carboniferous tillites (glacial deposits) in India, near to the present equator, show that India must have moved through at least 10,000 km since these tillites were formed. At the observed speed of tectonic plates this requires at least 100 Myr.
7. Lorence G. Collins -
http://www.csun.edu/~vcgeo005/collins.pdf - has argued that the accumulation of chloride ions in the oceans would require 3600 Myr, and therefore the oceans must be at least this old.
8. The observed recession of the moon from the earth requires 1-10 billion years from an initial state when the moon was close to the earth.
9. The heavy cratering of the moon and the terrestrial planets, combined with calculations of the expected rates of planetary collisions with meteorites and asteroids, requires billions of years.
10. The Widmanstätten structure of iron meteorites yields cooling rates of -2° to -10° per million years and requires cooling times of a few hundred million years.
11. Dynamical analyses of asteroid families yield ages of tens or hundreds of millions of years for these families.
12. The fact that most asteroids are in a state of principal axis rotation implies that they are hundreds or thousands of millions of years old.
13. The frequencies of solar oscillations fit a solar model with an age of 4.57 billion years, in exact agreement with the radiometric ages of meteorites.
14. The recession rates of the galaxies suggest an age for the universe of about 14 billion years.
Please keep this in mind. No one KNOWS how old the Earth, Solar System and Universe are.
The evidence presented above suggests that scientists do know, at least to a good approximation, how old the Earth, Solar System and Universe are.