# Logarithms

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Use the properties of logarithms to find the exact value of the expression log[16]4*log[5]5ã7

• Logarithms -

What is 5ã7 ?

• Logarithms -

suppose to be SQRT7

• Logarithms -

is that 5√7 or √7 ?

log164 = 1/2
log5 5√7 is not exact
was that base supposed to be 7 ?

• Logarithms -

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

• Logarithms -

log[16]4*log[5]5sqrt7

• Logarithms -

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) log57

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