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.

4 answers

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
why all that work?
0.3*10^(3x) = 32
10^(3x) = 32/.3
3x = log(32/.3)
x = 1/3 log(32/.3)
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.
0.3*10^(3x) = 32
10^(3x) = 106.67
3x*Log10 = Log 106.67
3x = 2.028
X = 0.676.