Final answer:
To solve the equation 8ʳ=63 and round to the nearest ten-thousandth, take the logarithm of both sides of the equation and isolate the variable r. The value of r is approximately 1.872.
Step-by-step explanation:
To solve the equation 8ʳ=63 and round to the nearest ten-thousandth, we need to isolate the variable r. We can do this by taking the logarithm of both sides of the equation. The logarithm with base 8 of 63 is approximately 1.872 and the logarithm with base 8 of 8 is 1. Therefore, the value of r is approximately 1.872.To solve the equation 8ʳ=63 and round to the nearest ten-thousandth, take the logarithm of both sides of the equation and isolate the variable r. The value of r is approximately 1.872.