Posted by Mc78 on Sunday, January 1, 2012 at 6:12pm.
Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7

Logarithms  drwls, Sunday, January 1, 2012 at 8:05pm
What is 5ã7 ?

Logarithms  Hunter, Sunday, January 1, 2012 at 8:40pm
suppose to be SQRT7

Logarithms  Reiny, Sunday, January 1, 2012 at 8:46pm
is that 5√7 or √7 ?
log_{16}4 = 1/2
log_{5} 5√7 is not exact
was that base supposed to be 7 ?

Logarithms  Mc78, Sunday, January 1, 2012 at 9:00pm
log[16]4*log[5]5ã7 is what the question, I am unsure how to solve exact

Logarithms  Mc78, Sunday, January 1, 2012 at 9:01pm
log[16]4*log[5]5sqrt7

Logarithms  Reiny, Sunday, January 1, 2012 at 9:05pm
log[16]4*log[5]5sqrt7
= (1/2(*(log[5]5 + log[5]√7)
= (1/2)( 1 + (1/2)log[5] 7)
= 1/2 + (1/4) log_{5}7
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