Find the value of x for which (4/9)power 4 × (4/9) power -7 = (4/9)power 2x-1
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7
Answer:
1 = x
Step-by-step explanation
(4/9)power 4 × (4/9) power -7 = (4/9)power 2x-1
L.H.S= (4/9)power {4+(-7)} [identity of exponent that when base are same and power are different and if they are in multiply then powers will add.]
⇒(4/9)power-3 = (4/9)power 2x - 1 (base same so base can be removed)
⇒-3 = 2x - 1
⇒-2 = 2x
⇒-1 = x
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4
Answer:
Your question is (4/9)power 4 × (4/9) power -7 = (4/9)power 2x-1 .
SO .
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