6^2r=800 round it to the nearest hundreth

Question: solve for r: 6 ^ (2r) = 800

Answer: 1.87

Step-by-step explanation:

6 ^ (2r) = 800

log (6 ^ (2r)) = log (800)

2r log (6) = log (800)

r = log (800) / (2 log (6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.

6^ (2*1.86) = 784.734328546

6^ (2*1.87) = 813.365367336