10^x - 0.47 * 10^x = 220
0.53 * 10^x = 220
10^x = 220/0.53
x = log(220/0.53)
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.
2 answers
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
4 answers