Question

find the value of x for which [4/9] power 4 * [4/9] power -7 = [4/9] power 2x-1​

Answer 1

Answer:

I think the value of x is - 1...

As after solving you will get (4/9)*-3 =(4/9)*2x-1..

Put the powers in equal and you will get the answer as - 1.. :)

Answer 2

Answer:

$( \frac{4}{9} ) {}^{4} \times ( \frac{4}{9}) {}^{ - 7} =( \frac{4}{9 } ) {}^{2x - 1} \\ 4 + ( - 7) = 2x - 1 \:\:\:\:[ Since\: base \: are\: same ] \\ - 3 = 2x - 1 \\ 2x = - 3 + 1 \\ x = \frac{ - 2}{2} \\ x = - 1$

Step-by-step explanation:

Hope it will help you.