Question

Using log-table, evaluate
(cube root of 12.7 × (0.82)^2) ÷ 0.625​

Answer 1

Answer:

What is the answer of cube root of 0.2785 using log?

Let x = (0.2785)^(1/3) taking log of both sides

Log x = (1/3) log(0.2785). Base for log is 10. Use log table. 0.2785, characteristics is bar 1 & mantissa from log table is 4448.

Log(0.2785)= bar1.4448.

Mantissa is always positive. Characteristics is -1 that is bar 1.

bar 1.4448 = bar 3 + 2.4448.

Taking 1/3 of it ….

bar 1 +0.8146.

This is log x. To find x, take antilog.

Characteristics of answer is bar 1. Take antilog of mantisa .8146 using antilog table. 6525 is result. Adjust decimal point to get bar 1 as characteristics.

Answer x= 0.6525.

{If calculator is used answer is 0.653042932}.

Answer 2

Step-by-step explanation:

i have explained it in pic may it helps