Question

For questions 1-2, convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3".

1. 9 3/2 = 27

2. ex = 7

For questions 3-4, write the logarithmic equation in exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25".

3. log3 81 = 4

4. log6 216 = 3

Answer 1

1.log9 27=3/2; 2. ln7=x 3. 3^4=81, 4. 6^3=216

Answer 2

1. log9 27 = log (9*9^(1/2)) = log9 9 + log9 9^(1/2) = 1 + 1/2 = 3/2

Answer 3

e^x = 7
2. x= ln 7 = 1.9459

Answer 4

3. log3 81 = log3 3^4 = 4 so 3^4= 81

Answer 5

4. log6 216 = log6 6^3 = 3 so 6^3 = 216