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:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Step-by-step explanation:
hope this helps
9/11 is equal to 18/22, so then D.
Area=basexheight
Area=9x4
Area=36
Negative Slope<span>. </span>If<span> a line has a </span>positive slope<span> (i.e. m > 0 ), then y always increases when x increases and y always decreases when x decreases. Thus, the </span>graph<span> of the line starts at the bottom left and goes towards the top right. Thus, as x increases by 3 , y decreases by 4 , and as x decreases by 3 , y increases by 4 .
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