00:01
In this problem of logarithmic function, we have given that a country presently has coal reserves of 50 million tons.
00:09
So this is here 50 million tons.
00:13
So this is the coal reserve.
00:17
And now, last 6 .5 million tons of coals was consumed.
00:21
So this was the consumed coal.
00:24
This is 6 .5 million tons of coals consumed.
00:33
This is the coal.
00:34
And now, past year data and the population projection suggested that the rate of consumption are, so this is the rate of consumption in million tons per year, so this is the in million tons per year, this is the consumption rate, will increase according to the formula.
00:57
So the formula is r is equal to 6 .5 e to the power .02, so this is .02 t.
01:06
And the total amount t in million terms of the coal will be used in the t years is given by the formula so this is the consumption increase and the total amount of million terms of the coal that will be used in the t years is given by the formula that is t is equal to 325 e to the power 0 .0 to t this is t minus 1 where t is in years if country uses only its own resources when will the coal reserves will be depleted or will be fully consumed.
01:45
And now this is a formula that is t is equal to 325 to the power 0 .02 t minus 1...