Question

2) If 2^a = 3^b= 6^c, then find the relation between a, b
and c.

please solve this question step by step I will mark it as brainliest ​

Answer 1

Let 2a = 3b = 6c = k

2a = k

2 = \frac{k}{a}2=

a

k

3b = k

3 = \frac{k}{b}3=

b

k

6c = k

6 = \frac{k}{c}6=

c

k

We know that,

6 ÷ 3 = 2

\frac{k}{c} \div \frac{k}{b} = \frac{k}{a}

c

k

÷

b

k

=

a

k

\frac{k}{c} \times \frac{b}{k} = \frac{k}{c}

c

k

×

k

b

=

c

k

\frac{b}{c} = \frac{k}{a}

c

b

=

a

k

[k = 6c]

b/c = 6c/a

b(a) = 6c(c)

ab = 6c²

ab/c² = 6

Answer 2

Answer:

yah to bahut bada answer hai