Question

find the value of x.​

Answer 1

Hi...☺

Here is your answer....☺

====================================

5^2x+1÷25=125

5^2x+1÷5^2=5^3

5^2x+1-2 = 5^3

Now, but equating the power we have,

=> 2x +1 - 2 = 3

=> 2x - 1 = 3

=> 2x = 3+1

=> 2x = 4

=> x = 4/2

=> x = 2

Hence, the value of x = 2..

====================================

Thanks.....☺

Answer 2

Given:

$⟹ {5}^{2x + 1} \div 25 = 125$

To find :

⟹ Value of X

$\huge\underline\mathbb{\red S\pink {O}\purple {L} \blue {UT} \orange {I}\green {ON :}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

⟹ We know that. 25. = 5² , 125 = 5³

⟹ And. n³ ÷ n² = n

So write above expression as

$⟹ {5}^{2x + 1 - 2} = {5}^{3}$

$⟹As \: bases \: are \: same \: power \: should \: also \: be \: same$

So

⟹ 2x -1 = 3

⟹ 2x = 4

⟹ x = 2

So answer is 2

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Additional Information :⏬

⟹Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n

⟹ Laws of Exponents

• ${ ({a}^{m}) }^{n} = {a}^{mn}$
• ${a}^{0} = 1$
• $\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
• ${a}^{m} \times {a}^{n} = {a}^{m + n}$