Purchase Solution

# Algebra: Logarithms

Not what you're looking for?

Please see the attached file for the fully formatted problems.

1. The value of e ln 1+ ln 2+ ln 3 is ?
2. If logN(25) - logN(81) = 2, then N is?
3. Solve for x: log5( x) + log5(2x +13) = log5(24)
4. Find the coefficient of the fourth term in the expansion of (2x +3y)^11

##### Solution Summary

Logarithm problems are solved. Algebraic functions are analyzed for logarithms.

##### Solution Preview

1.)
exp(ln(1) +ln(2) + ln(3))
= exp(ln(1*2*3)) (because ln(a) + ln(b) = ln(a*b))
= exp(ln(6))
= 6 (because e^(log_base_e (x)) = x) --Answer

2.)
log_base_N(25) - log_base_N(81) = 2
=> log_base_N(25/81) = 2 (because log(m) - log(n) = log(m/n))
=>N^2 = 25/81 (because ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Probability Quiz

Some questions on probability