Question

i want 13 ans.......
plzzzz ans is fast......​

Answer 1

i hope ur prblm is solved ☺

Answer 2

Required Answer:-

Given:

$\rm \mapsto (25 \sqrt{5} )^{x} = ( \sqrt[3]{5} )^{x + 1}$

To find:

• The value of x.

Solution:

Given that,

$\rm \implies (25 \sqrt{5} )^{x} = ( \sqrt[3]{5} )^{x + 1}$

$\rm \implies ( {5}^{2 + 0.5} )^{x} = \bigg (5 \bigg)^{ \dfrac{x + 1}{3}}$

$\rm \implies \bigg(5 \bigg)^{ \dfrac{5x}{2} } = \bigg (5 \bigg)^{ \dfrac{x + 1}{3}}$

Comparing base, we get,

$\rm \implies \dfrac{5x}{2} = \dfrac{x + 1}{3}$

$\rm \implies 3 \times 5x = 2(x + 1)$

$\rm \implies 15x = 2x + 2$

$\rm \implies 13x = 2$

$\rm \implies x = \dfrac{2}{13}$

Hence, the value of x is 2/13

Answer:

• The value of x is 2/13