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.

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 know that log_(10)100000 = 5 Show that you get the same answer by writing 100000 = 1000 xx 100 and then using the product rule. Verify the answer.

Find 32^(2/5)

Show that the points A (4, 2), B (7, 5) and C (9, 7) are three points lying on a same line.

3 g of ethane C_(2)H_(6) on complete combustion gave 8.8 g of CO_(2) and 5.4 g of water. Show that the results are in accordance with the law of conservation of mass.

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.

We know that, if 7 = 2^x then x = log_(2)7 . Then, what is the value of 2^(log_(2) 7 ) ? Justify your answer. Generalise the above by taking some more examples for a^(log_a N)

When the ninth term of an AP is divided by its second term we get 5 as the quotient, when the thirteenth term ia devided ny sixth term the quotient is 2 and the remainderis 5, then the seonnd term is