SOLUTION: Expand as much as possible into individual logarithms: log2 {(sqrt(x)(x-5))/y^3} Thank you for your help! I appreciate that!

Question 354490: Expand as much as possible into individual logarithms:
log2 {(sqrt(x)(x-5))/y^3}

Thank you for your help! I appreciate that!

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

We can start by using a property of logarithms, , to split the log of a fraction into separate logs:

Next, on the first log, we can use another property of logarithms, , to separate the log of a product into separate logs:

This is as many logs as we can get. But often these problems want you to use yet a third property of logarithms, , to remove exponents. But first, we will rewrite the square root using a fractional exponent:

Now we will use the property on the first and last logs to move their exponents out in front:

RELATED QUESTIONS
Expand as the sum of individual logarithms, each of whose argument is linear. Simplify... (answered by Fombitz)

please help me someone i would appreciate it so much i need these answers before i go to... (answered by richwmiller)

Expand as the sum of individual logarithms, each of whose argument is linear. Simplify... (answered by greenestamps,richwmiller)

HI. Use the properties of logarithms to expand the expression as much as... (answered by stanbon)

Hi, Can you help me with solving this problem? Express as a sum, difference, and... (answered by stanbon)

Hello, How would I do the following: 1. Express as a single logarithm and if... (answered by drk)

Please help with this question. It's too complicated and I don't know how to do this... (answered by lwsshak3)

We need to expand logarithms but some really confuse me so I can use your help. is log (answered by Edwin McCravy,AnlytcPhil)

Please help me solve this! Use properties of logarithms to expand the logarithmic... (answered by Edwin McCravy)