Posted by Mc78 on .
Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7

Logarithms 
drwls,
What is 5ã7 ?

Logarithms 
Hunter,
suppose to be SQRT7

Logarithms 
Reiny,
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,
log[16]4*log[5]5ã7 is what the question, I am unsure how to solve exact

Logarithms 
Mc78,
log[16]4*log[5]5sqrt7

Logarithms 
Reiny,
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