Dear friends

Logarithm is mathematical series with this we can calculate difficult sums. With calculator, we can not solve this sum so we need logarithm to solve these problems. Here I am giving you how to solve difficult problems with the help of log .

1st step

Suppose x = (32.38)1/7

2nd step

Take the log both sides

Log x = log (32.38)1/7

Log x = 1/7 log (32.38)

Now we see that 32.38 has 2 digit before point so we calculate the number before point

That is 2-1 =1

1 is written before point

As

And then we calculate value of log of 32 in 3 in logarithm see it and then see in 8 in last columns

You will find 5092 and 9

Add it = 5101

Now we write in

Log x = 1/7 (1.5101)

Or log x = 1.5101/7 =0.22

Now both side put antilog

In left side log cancel with antilog

X= antilog 0.22

Now because o is before point so we add one in it and then we find 0+1=1 , it means after calculating antilog we will put point after one digit from left side.

See the antilog of 0.22 in antilog table

That is 1660

Now put point after one digit that is 1.660

Your answer is x =1.660