Question

pls help with explanation..

Answer 1

Answer:

(3/2)7-3=(3/2) x+2

When bases are same so we compare power

Here we know that base is 3/2

So,

7-3=x+2

4=x+2

x=4-3

x=2

So 2 is the crect ans u can also telly it by placing 2 on the place of x.

Plzz mark it as brainliest

Answer 2

$\bold\red {using \: law \: of \: exponents }$

$\frac{x {}^{y} }{x {}^{a} } = x {}^{y - a}$

$( \frac{3}{2} ) {}^{7} \div (\frac{3}{2} ) {}^{3} = ( \frac{3}{3} ) {}^{x + 2}$

$(\frac{3}{2} ) {}^{7 - 3} = (\frac{3}{2}) {}^{x + 2} \\ (\frac{3}{2} ) {}^{4} = (\frac{3}{2} ) {}^{x + 2}$

$\green{ (\frac{3}{2} ) {}^{2 + 2} = (\frac{3}{2} ) {}^{x + 2} } \\ equating \: bases \\ \pink{2 + 2 = x + 2 } \\ we \: get \: \\ \orange{x = 2} \\ hope \: it \: helps$