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So we attempted to solve for the missing exponent by doing the following and it was incorrect. 

original question: 924500000=___ x 10^---

 

I took the Ln of 10 to get 2.302........

 

92450000*10^2.3025850929940457

 

This equation did not = 924500000

 

Not sure where we went wrong....please help

 Aug 20, 2019
 #1
avatar+9636 
+2

original question: 924500000=___ x 10^---

 

\(9.245\times 10^x=924500000\)

x=8

\(924500000={\color{blue}9.245} \times 10^{\color{blue}8}\)

laugh  !

 Aug 20, 2019
 #2
avatar+9636 
+2

original question: 924500000=___ x 10^---

 

\(924500000=\frac{92450000}{10^x}\times 10^x\\ x\in \mathbb N\ |x<10\\ \color{blue}x\in \{1,2,3,4,5,6,7,8,9\}\)

 

Sample:

\(924500000=\frac{92450000}{10^1}\times 10^1=92450000.0\times 10^{1}\\ 924500000=\frac{92450000}{10^2}\times 10^2=9245000.0\times 10^{2}\\ 924500000=\frac{92450000}{10^3}\times 10^3=924500.0\times 10^{3}\\ 924500000=\frac{92450000}{10^4}\times 10^4=92450.0\times 10^{4}\\ …\\ \color{blue}924500000 =9.245\times 10^{8}\)

All right!

laugh  !

 Aug 20, 2019
edited by asinus  Aug 20, 2019

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