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5^{(x + 3)} = 25^{(3x - 4)}, then find the value of x

1 $\frac{11}{5}$ $\frac{{11}}{5}$
2 $\frac{5}{11}$ $\frac{5}{{11}}$
3 $\frac{13}{5}$ $\frac{{13}}{5}$
4 $\frac{5}{13}$ $\frac{5}{{13}}$

Answer:- 1

Explanation:-

Solution:

5^{(x + 3)} = 25^{(3x - 4)}
Or, 5^{(x + 3)} = 5^{2 × (3x - 4)}
Now, comparing the powers,
(x + 3) = 2 × (3x - 4)
Or, x + 3 = 6x - 8
Or, 6x - x = 8 + 3
Or, 5x = 11
Hence, x =

\frac{11}{5}

$\frac{{11}}{5}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

5^{(x + 3)} = 25^{(3x - 4)}
Or, 5^{(x + 3)} = 5^{2 × (3x - 4)}
Now, comparing the powers,
(x + 3) = 2 × (3x - 4)
Or, x + 3 = 6x - 8
Or, 6x - x = 8 + 3
Or, 5x = 11
Hence, x =

\frac{11}{5}

$\frac{{11}}{5}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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