Hello Guest !
What is the value of b in the following question? 3^(4b) = 9^(b + 3) ?
3 ^ (4b) = 9 ^ (b + 3)
4b * lg3 = (b + 3) * lg9
4b * lg3 = b * lg9 + 3 * lg 9
4b * lg3 - b * lg9 = 3 * lg 9
b * (4 * lg3 - lg9) = 3 * lg9
b = 3 * lg9 / (4 * lg3 - lg9)
b = 3
Greeting asinus :- )
!
Gibson was better! Respect!