Question

If a^b=b^c=ab, then b+c=
Solve by class 9 method

Answer 1

In the attachment I have answered this problem.

The solution is simple and easy to understand.

See the attachment for detailed solution.

Answer 2

HELLO DEAR,


GIVEN:- a^b = b^c = ab = k(say)


so, a^b = k , b^c = k , ab = k

also, a = k^{1/b} , b = k^{1/c} , ab = k


now, ab = k^{1/b} * k^{1/c}

ab = k^{1/b + 1/c}

ab = k^{(c + b)/bc}

[as , ab = k ]

k = k^{(b + c)/bc}

1 = (b + c)/bc

b + c = bc


hence, b + c = bc



I HOPE IT'S HELP YOU DEAR,
THANKS