Answer:
y=81
Step-by-step explanation:
x=9 and y=81
y-70=11 (add 70 onto 11)
y=81
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Answer:
x= k/6 - c/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7y)² = 7²×y² = 49y²
Answer:
The expression 3p⁵ ₓ 8p³ / 2p can be simplified to 12p⁷.
Step-by-step explanation:
To simplify:
3p⁵ ₓ 8p³ / 2p
= (3 ₓ 8)(p⁵ ₓ p³) / 2p
= 24p⁸ / 2p
= 12p⁷
