Logarithms and Index Laws help

[xX-Cyanide-Xx]

!Logarithms and Index Laws help!

Ive been trying to complete a revision sheet but it has logarithims and index laws, and i don't know how to do them. I've included a few of the hardest questions frome the revision sheet in the attachment.


...Look at attachment....



I've tried the first question fir the logs:
Log 6 + Log 4
So i separated the two logs and didthem sepratly:
Log 6
x = Log^10 (6)
10^x = 6?

Log 4
x = Log^10 (4)
10 = 4 ?
Then i get stuck there, could someone please show me an example so i can attempt the rest of the questions on the sheet.

And with the index laws i couldn't even start, had no idea wat to do.

can someone please help!

 

[quinnwei]

umm... i don't know if this is what they are asking for...
log4+log6 = log24
is that simplifying?

 

[xX-Cyanide-Xx]

THAT SOUNDS ABOUT RITE, THEN I CAN JUST SIMPLIFY IT further.

 

[xX-Cyanide-Xx]

can someone else check it as well, cus I'm still a little confused.

 

[xX-Cyanide-Xx]

So Log 24
x = Log^10 (24)
then get rid of the log:
10^x = 24^?
But wat power should 24 be so that it equals 10.

is this even correct?

Someone please help.

 

[rl.bhat]

THAT SOUNDS ABOUT RITE, THEN I CAN JUST SIMPLIFY IT further.

No further simplification. That is the answer.

 

[xX-Cyanide-Xx]

Really, so its just Log 24?

 

[rl.bhat]

Really, so its just Log 24?

Yes.

 

[xX-Cyanide-Xx]

Ok thanks so much for the help.