Asked by Mike

Solve: 0.3*10^(3x) = 32

(again says)
a. With an exact answer.
b. Decimal form with one decimal accuracy.
c. Decimal form with three values of accuracy.
Answered by Kenny
0.3*10^(3x)=32

3×10^(3x-1)=32

10^(3x-1)=32/3

(3x-1)log10=(log32-log3)

3x-1=(log32-log3)

3x-1=1.02803

3x=1.02803+1=2.02803

X=(2.02803)/3
Answered by oobleck
why all that work?
0.3*10^(3x) = 32
10^(3x) = 32/.3
3x = log(32/.3)
x = 1/3 log(32/.3)
Answered by Mike
I don't know why, it's part of the question. :(

I've honestly not enjoyed this school here lol. I'm hoping to get to another one. They don't help at all (they toss the book at you and theres no actual classes) so if you don't understand the book your sol. Reason why I ask here is mostly to try to grasp a couple since I'm doing 100-200 questions a week or around.
Answered by henry2,
0.3*10^(3x) = 32
10^(3x) = 106.67
3x*Log10 = Log 106.67
3x = 2.028
X = 0.676.

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