Question

$5 {}^{2x + 1} \div 25 = 125$
find the value of x

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Answer 1

Answer:

The value of x is 2.

Step-by-step explanation:

Solve for x as follows:

$\frac{5^{2x+1}}{25}=125\\\frac{5^{2x+1}}{5^{2}}=5^{3}\\5^{2x+1-2}=5^{3}\\22x=4\\x+1-2=3\\2x-1=3\\x=2$

Thus, the value of x is 2.