What is the value of Log (base 4) 1/8?

What is the value of each:


a) 10 ^ -10log3


b) 2log (base 3) 9


c) log (base 3) 3 ^2x|||.. log4(1/8)


= - log4(8)


= - log4( 4^(3/2) )


= - (3/2) log4(4)


= - (3/2)|||log(base 4) 1/8 = log(1/8) / log(4) = [log(1)-log(8)] / log(4)


= -log(8) /log(4)


= -log(2^3) /log(2^2)


= -3 log(2) / 2 log(2)


= -3/2


= -1.5


--------------------------------------鈥?br>

a)


10^[-10log(3)] = 10^[log(3^-10)] = 1/3^10


=


--------------------


b)


2 log(base 3) 0 = 2 log(base 3) (3^2) = 2(2) log(base 3) 3 = 4 (1) = 4


--------------------------------------鈥?br>

c)


log(base 3) 3^2x


= 2x log(base 3) 3


= 2x(1)


= 2x