Question

if 2160=2a,3b,5c . find abc.hence calculate the value of 3b x 2a x 5c​

Answer 1

Answer:

Given, 2160=2

a

.3

b

.5

c

Now,

2160=2

4

.3

3

.5

1

Thus, comparing the above two, we get

a=4, b=3, c=1,

Answer 2

Question:-

• If $\sf 2160=2^{a}3^{b}5^{c}$, find abc. Hence, calculate the value of 3b x 2a x 5c.

Solution:-

Given,

$\sf 2160 = {2}^{a} {3}^{b} {5}^{c}$

Or,

$\sf {2}^{4} \times {3}^{3} \times {5}^{1} = {2}^{a} \times {3}^{b} \times {5}^{c}$

Comparing both sides, we get,

• $\sf a = 4$
• $\sf b = 3$
• $\sf c = 1$

So,

$\sf abc = 4 \times 3 \times 1 = 12$

Now,

$\sf 3b \times 2a \times 5c$

$\sf = 30abc$

$\sf = 30 \times 12$

$\sf = 360$

Answer:-

• $\sf abc = 12$
• $\sf 3b \times 2a \times 5c = 360$