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

Answer 1

What is 5�ã7 ?

Answer 2

suppose to be SQRT7

Answer 3

is that 5√7 or √7 ?

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

Answer 4

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

Answer 5

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

Answer 6

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