Knowee
Questions
Features
Study Tools

Evaluate the following logarithmic expressions: (Criteria A)a) log28b) log101000c) lned) log3(1/27)e) log5125

Question

Evaluate the following logarithmic expressions:

a) log2 8
b) log10 1000
c) ln e
d) log3 (1/27)
e) log5 125

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, here are the evaluations for the given logarithmic expressions:

a) log2 8 The base of the logarithm is 2 and we are looking for the power to which 2 must be raised to get 8. Since 2^3 = 8, the answer is 3.

b) log10 1000 The base of the logarithm is 10 and we are looking for the power to which 10 must be raised to get 1000. Since 10^3 = 1000, the answer is 3.

c) ln e The base of the natural logarithm (ln) is e (approximately 2.71828) and we are looking for the power to which e must be raised to get e. Since e^1 = e, the answer is 1.

d) log3 (1/27) The base of the logarithm is 3 and we are looking for the power to which 3 must be raised to get 1/27. Since 3^-3 = 1/27, the answer is -3.

e) log5 125 The base of the logarithm is 5 and we are looking for the power to which 5 must be raised to get 125. Since 5^3 = 125, the answer is 3.

This problem has been solved

Similar Questions

Evaluate the following logarithmic expressions: (Criteria A)a) log28b) log101000c) lned) log3(1/27)e) log5125

Apply the properties of logarithms to simplify the expressions: (Criteria A)a) log39+log327b) log28−log22c) 3log105−log1025d) lnx+lnye) logaan

Find the exact value of each expression.(a)log3(12) − log3(28) + log3(63)(b)log4(40) − log4(32) − log4(20)

Solve the following logarithmic equations: (Criteria A)a) log4(2x+1)=2b) 3log(x−2)=6c) 4ln(2x+3)=4d) log3(x+1)−log3(2x−1)=1e) 2loga(3x+1)=loga(9)

If log102 = p and log103 = q, the value of log12536 is equal to which of the following?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.