Question

Find the value of x in ea
(i) (52)} = (125)*​

Answer 1

Step-by-step explanation:

\begin{gathered} {5}^{2x + 1} \div 25 = 125 \\ = > {5}^{2x + 1} \div {5}^{2} = 125 \\ = > {5}^{2x + 1 - 2} = {5}^{3} \end{gathered}

5

2x+1

÷25=125

=>5

2x+1

÷5

2

=125

=>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..

Answer 2

$\begin{gathered}{\Huge{\textsf{\textbf{\underline{\underline{\purple{Answer:}}}}}}}\end{gathered}$

$\implies$ Please Drop Some Thanks.