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400,000(1.05^x)=1,000,000

What would x be in this problem?

 Jan 25, 2015

Best Answer 

 #1
avatar+130555 
+5

400,000(1.05^x)=1,000,000     divide both sides by 400,000

1.05^x = 1000000/40000

1.05^x = 2.5     take the log of both sides

log 1.05^x = log 2.5      and we can write

x log 1.05 = log 2.5        divide both sides by log 1.05

x = log 2.5 / log 1.05  = about 18.78

 

 Jan 26, 2015
 #1
avatar+130555 
+5
Best Answer

400,000(1.05^x)=1,000,000     divide both sides by 400,000

1.05^x = 1000000/40000

1.05^x = 2.5     take the log of both sides

log 1.05^x = log 2.5      and we can write

x log 1.05 = log 2.5        divide both sides by log 1.05

x = log 2.5 / log 1.05  = about 18.78

 

CPhill Jan 26, 2015

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