Need help on writing the expression as a single logrithm

[Dentalogist]

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I totally forgot on how to do these....
4 log x -6 log(x+2)

log(4x+10)=3

log base(5)x^10-log base(5)x^6=21

 

[BYU4you]

1) log[(x^4) /(x+2)^6]

2)10^3=4x+10

3) 5^21=x^4

I could be wrong and the last one was simplified.

I suggest going through math destroyer if you want to learn how to do these and more than the answers but hopefully the answers will be enough for you to see how I got them.

Unless I got them wrong then sorry haha

 

[Dentalogist]

1) log[(x^4) /(x+2)^6]

2)10^3=4x+10

3) 5^21=x^4

I could be wrong and the last one was simplified.

I suggest going through math destroyer if you want to learn how to do these and more than the answers but hopefully the answers will be enough for you to see how I got them.

Unless I got them wrong then sorry haha

thanks! QR is a pain....

 

[predent_mathlete]

I could be wrong and the last one was simplified

You're right!

@Dentalogist Go watch math videos on youtube. Khan academy basically replaced my professors for a couple intro math classes at university. They're really helpful if you're struggling!

 

[DAT Destroyer]

I totally forgot on how to do these....
4 log x -6 log(x+2)

log(4x+10)=3

log base(5)x^10-log base(5)x^6=21

4 logx-6log(x+2)= logx^4 -log(x+2)^6= log[(x^4/(x+2)^6]

Use the definition if log:
10^3=4x+10

Log(base5)x^10-log(base5)x^6= log(base5)(x^10/x^6)= log(base5)x^4
Then 5^21=x^4.

To do these kind of problems make sure you know all the properties of log.

 

[predent_mathlete]

Also, Wolfram Alpha is magic if you ever need to check if your answers are right. It's free, and can do everything from basic addition to complex differential equations. If you get the paid version it'll also tell you how to solve them.