Question

if 108=2a×3b, then find the valve of a+b​

Answer 1

Answer:

108=2a*3b

Step-by-step explanation:

108=2a*3b=6ab.

108/6=ab

18=ab

let the value of ab be x

18=2x

18/2=x

9=x

a+b=9+9=18

18 is the right answer

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Answer 2

The value of a + b = 5

Given :

$\sf 108 = {2}^{a} \times {3}^{b}$

To find :

The value of a + b

Solution :

Step 1 of 3 :

Write down the given equation

Here it is given that

$\sf 108 = {2}^{a} \times {3}^{b}$

Step 2 of 3 :

Find the value of a and b

108 = 2 × 2 × 3 × 3 × 3

⇒ 108 = 2² × 3³

Now it is given that

$\sf 108 = {2}^{a} \times {3}^{b}$

Comparing we get

a = 2 , b = 3

Step 3 of 3 :

Find the value of a + b

a + b

= 2 + 3

= 5

The value of a + b = 5