Question

The value of x, if 5^x-3 . 3^2x-8 = 225, is : (A) 1 (B) 2 (C) 3 (D) 5

Answer 1

solution

5∧x-3 * 3∧2x-8=225

15∧x+2x-3-8=225

15∧3x-11=225

15∧3x-11=15∧2

from the law of indices if the bases are equal then the power must also be the same

⇒3x-11=2

3x=2+11

3x=13

⇒x=13/3

the answer no option

but if u mean 5∧x+3 * 3∧2x+8=-225

then we can say the answer is 3

but from your answers no option