Question

Given that log3(t)= -17.21, log3(z)= 9.06, and log3(y)= -13.86,
find the following: log3(tz⁴)

Answer 1

To find log3(tz⁴), we can use the properties of logarithms. By simplifying the expression using the property log(ab) = log(a) + log(b), we can find that log3(tz⁴) = 19.03.

Step-by-step explanation:

To find log3(tz⁴), we can use the properties of logarithms. Firstly, we can rewrite tz⁴ as t multiplied by z⁴. Then, we can use the property log(ab) = log(a) + log(b) to simplify the expression. Therefore, log3(tz⁴) = log3(t) + log3(z⁴). Substituting the given values, we have log3(tz⁴) = -17.21 + 4(9.06) = -17.21 + 36.24 = 19.03.