Question

Solve :
${5}^{3x + 1} = {25}^{x + 2}$
​

Answer 1

Answer:

hope this helps you this is ur answer

Answer 2

Simplify:

Step-by-step explanation:

$\ Given \ value:\\\\\ 5^{(3x+1)} \ = 25^{(x+2)} \\\\\ Solution:\\\\\ 5^{(3x+1)} \ = 25^{(x+2)} \\\\\ take \ log \ in \ both \ side:\\\\\rightarrow \log5^{(3x+1)} \ =\log 25^{(x+2)} \\\\\rightarrow (3x+1) \log5 \ =(x+2) \log 25 \\\\\rightarrow 3x\log5 + \log5 \ =(x+2)\log 5^2 \\\\\rightarrow 3x\log5 + \log5 \ =2(x+2)\log 5 \\\\\rightarrow 3x\log5 + \log5 \ =2x\log 5+4\log5 \\\\ \rightarrow 3x\log5 -2x\log 5\ =4\log 5- \log \ 5 \\\\\rightarrow x\log5 \ =3\log 5$

$\rightarrow x\ =\frac{3\log 5}{\log5 } \\\\\rightarrow x\ = 3$

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