Find the value for each of the following If it is not possib

Find the value for each of the following. If it is not possible to determine the value, enter NONE. Log_3(1) log_7(7)

a) log3(1) = log1/log3 =0

c) log8(-5) does not exist as for log(x) , x>0

d) log₇(7^2) = 2log₇(7) = 2log7/log7 =2

e) 3^log3(9)

Let y = log3(9)= log3(3^2) = 2log3/log3 =2

So,3^log3(9) = 3^2 = 9

f) log4(256) =log4(16^2) = log4(4^2)^2 = log4(4^4) = 4log4/log4 = 4

g) log2(1/8) = log2(8^-1)

= log2(2^-3) = -3

h) 10^log4

Let y = 10^log4

taking log on both sides:

logy = log10^log4 = log4*log10 = log4

y = 4