To evaluate log3 72, given that log3 8 is approximately 1.8928, we use properties of logarithms. We can express 72 as 8×9, and since log3 9 equals 2, log3 72 is 1.8928 + 2, which is 3.8928.
The student is asking to evaluate log3 72 given that log3 8 ≈1.8928. We can use the properties of logarithms to solve this. Since 72 can be expressed as 8×9, and we know that log3 8, we can find the log3 9 by understanding that 9 is 3²and therefore log3 9 is 2, because the base and the argument are the same.
Now, using the property of logarithms that loga (xy) = loga x + loga y, we can write log3 72 as:
log3 (8 ∙9) = log3 8 + log3 9
log3 72 = 1.8928 + 2
log3 72 = 3.8928
#SPJ2
Answer:
≈ 3.8928
Step-by-step explanation:
log base 3 of 72 is approximately 3.8928
you would need to plug this into a calculator to solve