If \log 2 = 0.3010, then find number of digits in 2^1070.

Logarithms Practice Test 2

Question : 14 of 39

Marks: +1, -0

\log 2 = 0.3010

, then find number of digits in

2^1070

Solution:

Let

x=2^{1070}

Taking log on both sides,

\log x=\log 2^{1070}

\log x=1070\log 2

\log x=1070×0.3010

\log x=322.07

Characteristic is 322.
So, number of digits = 323

Go to Question:

Prev Question

Next Question