+1904 \({3}^{4b}={9}^{b+3}\)
\({3}^{4b}={3}^{2(b+3)}\)
\(4b=2(b+3)\)
\(4b=2b+6\)
\(2b=6\)
\(b=3\)
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+14985 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 :- )
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