Value of Variable

${3}^{4b}={9}^{b+3}$

${3}^{4b}={3}^{2(b+3)}$

$4b=2(b+3)$

$4b=2b+6$

$2b=6$

$b=3$

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!