logo for solving-math-problems.com
leftimage for solving-math-problems.com

Logarithm











































Simplify the following expression

(3.87^3+20)÷(3.87^3-20)

The base number of 3.87 in both the numerator and the denominator is the same.

The makes simplification of the expression straightforward.

Comments for Logarithm

Click here to add your own comments

Aug 11, 2011
Simplify Expression
by: Staff


The question:

(3.87^3+20)÷(3.87^3-20)


The answer:

(3.87^3+20)÷(3.87^3-20)

The notation is a bit unclear, but I think this is what you mean:

[3.87^(3+20)]÷[3.87^(3-20)]

= [3.87^(3+20)]/[3.87^(3-20)]

Since the base for both the numerator and denominator is the same

= 3.87^[(3+20)-(3-20)]

= 3.87^[(3-3)+(20+20)]

= 3.87^(0+40)

= 3.87^40

= 3.22432344197172E+23

The final answer is: 3.87^40, or 3.22432344197172E+23



log(3.87^40) = 40*log(3.87) = 23.5084386007565

10^(23.5084386007565) = 3.22432344197172E+23




Thanks for writing.

Staff
www.solving-math-problems.com

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com