Logarithms

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lovely_nancy

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Joined
Sep 14, 2010
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could someone help me and tell me how would you go on about questions like:
½ log root16 + 2log (½)

and

2log 4 + log 9 - ½log 144

could you please tell me ways in which we could solve logarithms like this

many thanks
 
lovely_nancy said:
could someone help me and tell me how would you go on about questions like:
½ log root16 + 2log (½)

=½ log (16[sup:nke02d0h]½[/sup:nke02d0h]) + log ([½][sup:nke02d0h]2[/sup:nke02d0h])

=log (16[sup:nke02d0h]¼[/sup:nke02d0h]) + log ([½][sup:nke02d0h]2[/sup:nke02d0h])

Now continue.....

and

2log 4 + log 9 - ½log 144

= log(4[sup:nke02d0h]2[/sup:nke02d0h]) + log(9) - ½log 144

= log(4[sup:nke02d0h]2[/sup:nke02d0h]*9) - ½log (144)

Now continue.....

could you please tell me ways in which we could solve logarithms like this

many thanks
Click to expand...
 
so if im not wrong the following question:
log (root x)^5
= 5log (root x)
= x^5/2

am I correct?
 
lovely_nancy said:
so if im not wrong the following question:
log (root x)^5
= 5log (root x)
= x^5/2 <<< This is not correct

log (root x)^5
= 5log (root x)
= 5/2 * log(x)

or

= log(x[sup:x3u732t8]5/2[/sup:x3u732t8])




am I correct?
Click to expand...

Please start a new thread with a new problem
 
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