Question

pls answer this question​

Answer 1

Comparing the exponents,

3x = 2-x

4x = 2

x = 1/2

OPTION B: 1/2

Hope it helps. Do mark it the Brainliest.

Answer 2

Question :-

$125 {}^{x} = \frac{25}{5 {}^{x} }$

What to find out =value of X?

Solution :-

$125 {}^{x} = \frac{25}{5 {}^{x} } \\ \\ cross \: multiplication \\ \\ 125 {}^{x} \times 5 {}^{x} = 25 \\ \\ convert \: these \: into \: same \: bases \\ \\ (5 {}^{3} ) { }^{x} \times 5 {}^{x} = 5 {}^{2} \\ \\ 5 {}^{3x} \times 5 {}^{x} = 5 {}^{2} \\ \\ 5 {}^{4x} = 5 {}^{2} \\ \\ compare \: the \: powers \\ \\ 4x = 2 \\ \\ x = \frac{2}{4} = \frac{1}{2} \: \: \: \: \: \: \: \: \: \: ans$

* Formulae used:-

$1) \: \: \: a {}^{m} = a {}^{n} \\ \: \: \: \: \: \: \: \: m = n \\ \\ 2) \: \: (a {}^{m} ) {}^{n} = a {}^{mn} \\ \\ \\ 3)a {}^{m} \times a {}^{n} = a {}^{m + n}$