solve: e^3x>or equal to 21?

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2007-04-25 06:02:07 · 4 answers · asked by lana l 1 in Science & Mathematics ➔ Mathematics

e^3x >= 21
ln (e^3x) >= ln (21)
3x * ln(e) >= ln (21)
3x >= 3.0445
x >= 1.0148

2007-04-25 06:06:14 · answer #1 · answered by iluxa 5 · 0⤊ 0⤋

when multiply e and the natural log ln it cancels the e out so multiply ln to both sides

ln e^3x >/= ln21
3x >/=ln21
x>/=(ln21)/3

2007-04-25 13:06:58 · answer #2 · answered by Heather M 2 · 0⤊ 0⤋

e^3x => 21
ln e^3x => ln 21
3x => ln 21
x => (ln21)/3

2007-04-25 13:08:29 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋

e^(3x) >= 21

ln(e^(3x) >= ln(21)

3x >= ln(21)

x >= (ln(21))/3 ~ 1.0148

2007-04-25 13:07:02 · answer #4 · answered by metalluka 3 · 0⤊ 0⤋