Question

( 5^3 . (3x + 2) ) : 13=5^5 : ( 13^5 : 13^4)

Answer 1

\(\left[5^3\left(3x+2\right)\right]:13=5^5:\left(13^5:13^4\right)\)

\(\left[5^3\left(3x+2\right)\right]:13=5^5:13\)

\(5^3\left(3x+2\right)=5^5:13.13\)

\(5^3\left(3x+2\right)=5^5\)

\(3x+2=5^5:5^3\)

\(3x+2=25\)

\(3x=25-2\)

\(3x=23\)

\(\Rightarrow x=\frac{23}{3}\)

Answer 2

 ( 375x+250 ) :13=3125;13

375x+250=3125

375x=2875

x=23/3