Solve 9^(2x-3)>4. round your answer to the nearest hundredth.?

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2007-08-27 12:11:24 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

♦ thus (2x-3)*ln(9) > ln(4),
hence x= (ln(4)/ln(9) +3) / 2 = 1.8155; x > 1.82;

2007-08-27 12:28:52 · answer #1 · answered by Anonymous · 0⤊ 0⤋

9^(2x-3)>4
log 9^(2x-3) >log 4
(2x-3) log 9 >log4
2x-3 > log 4/log 9
2x > 3+log9/log4
x > [3+log9/log4]/2
x > 2.29

2007-08-27 12:23:09 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋