Math, asked by scorpiomahathi2008, 7 months ago

please answer this fast​

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Answered by khashrul
0

Answer:

x = -3

Step-by-step explanation:

Given that,

(\frac{7}{3} )^4 x (\frac{7}{3} )^{3x} x (\frac{7}{3} )^{-2} = (\frac{7}{3} )^{(2x - 1)}

=>(\frac{7}{3} )^{(4 + 3x -2)}  = (\frac{7}{3} )^{(2x - 1)}  [Using the a^m . a^n = a^{(m+n)} formula of indices]

=>  \frac{(\frac{7}{3} )^{(3x + 2)}}{(\frac{7}{3} )^{(2x - 1)}}  = 1  [dividing both sides by (\frac{7}{3} )^{(2x - 1)}]

=>  (\frac{7}{3} )^{[(3x + 2) - (2x - 1)]}  = (\frac{7}{3} )^{0}  [Using the \frac{a^m}{a^n} = a^{(m-n)} ;  a^0 = 1 formulas

                                              of indices]

3x + 2 - 2x + 1 = 0

x = -3

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