Asked by Mike
Solve 10^x - 0.47 * 10^x = 220
a. With an exact answer.
b. Decimal form with one decimal accuracy.
c. Decimal form with three values of accuracy.
a. With an exact answer.
b. Decimal form with one decimal accuracy.
c. Decimal form with three values of accuracy.
Answers
Answered by
oobleck
10^x - 0.47 * 10^x = 220
0.53 * 10^x = 220
10^x = 220/0.53
x = log(220/0.53)
0.53 * 10^x = 220
10^x = 220/0.53
x = log(220/0.53)
Answered by
Kenny
10^x - 0.47 * 10^x = 220
10^x[1-0.47]=220
10^x[0.53]=22×10
0.53=22×10^(1-x)
53×10^(-2)=22×10^(1-x)
53=[22×10^((1-x)-(-2)]
53=22×10^(3-x)
22×10^(3-x)=53
10^(3-x)=53/22
(3-x)log10=log53-log22
3-x=[log53-log22]/log10
3-x=1.7242-1.3424
3-x=0.3818
-x=0.3818-3
-x=−2.6182
x=2.6182
10^x[1-0.47]=220
10^x[0.53]=22×10
0.53=22×10^(1-x)
53×10^(-2)=22×10^(1-x)
53=[22×10^((1-x)-(-2)]
53=22×10^(3-x)
22×10^(3-x)=53
10^(3-x)=53/22
(3-x)log10=log53-log22
3-x=[log53-log22]/log10
3-x=1.7242-1.3424
3-x=0.3818
-x=0.3818-3
-x=−2.6182
x=2.6182
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