Question

If 5 to the power of 2x + 1 ÷ 25 = 125, find the value of x

Answer 1

Answer:

x=2

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Answer 2

Step-by-step explanation:

solution:

to find:

value of x

equation=>

${5}^{2x + 1} \div 25 = 125$

$= > 5 ^{2x + 1} \div {5}^{2} = {5}^{3}$

$= > {5}^{2x - 1} = {5}^{3}$

$= > 2x - 1 = 3$

$= > 2x = 4$

$= > x = \frac{4}{2}$

$= > x = 2$

value of x=2

check:

{5}^{2×2+1}÷5^2=5^3

=>5^5-2=5^3

=>5^3=5^3

LHS=RHS

hence answer is verified