Solve for x 1200(1.03)^x=800(1.08)^x

FobelloE

FobelloE

Answered question

2020-11-08

Solve for x 1200(1.03)x=800(1.08)x

Answer & Explanation

Jozlyn

Jozlyn

Skilled2020-11-09Added 85 answers

1200(1.03x)=800(1.08x)
divide by 800 on both sides
divide by 1.03x on both sides
1200800=1.08x1.03x
32=(1.081.03)x
ln(32)=ln((1.081.03)x)
ln(32)=xln(1.081.03)
Exact: x=ln(32)ln(1.081.03)
Decimal, approximate: x = about 8.554

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