We know that `log_10 100000 = 5` Show that you get the same answer by writing `100000 = 1000xx100` and then using product rule. Verify the answer.

We know log_(2)32 = 5 . Show that we get the same answer by writing 32 as 64/2 and then using the product rule. Verify your answer .

We have log_(2)32 = 5 . Show that we get the same result by writing 32 = 2^(5) and then using power rules. Verify the answer.

Try to write the numbers 10, 100, 1000, 10000 and 100000 in exponential forms. Identify the base and index in each case.

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

Figure Show plot of PV//T versus P for 1.00xx10^(-3) kg of oxygen gas at two different temperatures. (a) What does the dotted plot signify? (b) Which is true: T_(1) gt T_(2) or T_(1) lt T_(2) ? (c) What is the value of PV//T where the curves meet on the y-axis? (d) If we obtained similar plots for 1.00xx10^(-3) kg of hydrogen, would we get the same value of PV//T at the point where the curves meet on the y-axis? If not, what mass of hydrogen yields the same value of PV//T (for low pressure high temperature region of the plot) ? (Molecular mass of H_(2) = 2.02 u, of O_(2) = 32.0 u, R= 8.31Jmol^(-1)K^(-1).)

Sridhar calculated the distance between T ( 5 , 2) and ( R ( - 4 , - 1) to the nearest tenth is 9 . 5 units . Now you find the distance between P ( 4 , 1) and Q ( - 5 , - 2) . Do you get the same answer that Sridhar got ? Why ? (AS_(2),AS_(3))