Question

It is known that log 2 =0.3010. Find log 4 and log 8.​

Answer 1

Answer:

The value of log 4= 0.6 and log 8= 0.9

Explanation:

From the question, we have

log 2 = 0.3

log 4 = log (2×2)

= log 2 + log 2

= 0.3+0.3

log 4= 0.6

log 8 = log (2³)

= 3×log 2

=3×0.3010

log 8= 0.9

Multiplication:

Multiplying the integers helps mathematicians to find the sum of two or more numbers. Division is the opposite of multiplication. It is a fundamental technique that is used frequently on a daily basis. When mixing groups of similar sizes, we use multiplication. The concept of adding the same number repeatedly is represented by multiplication. The results of simply multiplying or more numbers are known as the products, and the factors are the values that are being multiplied.

To learn more about multiplication visit:

brainly.in/question/54137141

brainly.in/question/42663642

#SPJ3

Answer 2

log 4 = 0.6020 and log 8 = 0.9030

Given :

log 2 = 0.3010

To find :

The value of log 4 and log 8

Formula Used :

We are aware of the formula on logarithm that

$\sf{ log( {a}^{n} ) = n log(a) }$

Solution :

Step 1 of 2 :

Find the value of log 4

$\displaystyle \sf log \: 4$

$\displaystyle \sf = log \: ( {2}^{2} )$

$\displaystyle \sf = 2log \: 2\: \: \: \bigg[ \: \because \:log( {a}^{n} ) = n log(a) \bigg]$

$\displaystyle \sf = 2 \times 0.3010$

$\displaystyle \sf = 0.6020$

Step 2 of 2 :

Find the value of log 8

$\displaystyle \sf log \: 8$

$\displaystyle \sf = log \: ( {2}^{3} )$

$\displaystyle \sf = 3log \: 2\: \: \: \bigg[ \: \because \:log( {a}^{n} ) = n log(a) \bigg]$

$\displaystyle \sf = 3 \times 0.3010$

$\displaystyle \sf = 0.9030$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if 2log x base y=6,then the relation between x and y

https://brainly.in/question/27199002

2.If 2log((x+y)/(4))=log x+log y then find the value of (x)/(y)+(y)/(x)

https://brainly.in/question/24081206

#SPJ3