Question

IF 2^a = 3^b = 6^c, then find the relation between a, b and C.​

Answer 1

Answer:

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Answer 2

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