Please Assist in Using natural Logarithms to solve exponential equations
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Question

Please Assist in Using natural Logarithms to solve exponential equations 
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anonymous · Answer

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campbell_st · Answer

well isn't the 1st question 50% divided by 7 to find the annual percentage growth rate

and the exponential model is, k is the growth rate

$$15000 = 10000 e^{7k}$$

so 

$$\frac{15000}{10000} = e^{7k}$$

take the base e log of both sides so 

$$\ln(1.5) = 7k$$

just solve for k.

anonymous · Answer

I think there are several forms which 'exponential' growth equations can be written. Here is another way to look at growth rates:
$$15,000 = 10,000(1+i)^7$$

anonymous · Answer

I tried that and it said it was incorrect..

campbell_st · Answer

which did you try..?

anonymous · Answer

i divided ln(1.5) by 7 and got 0.0579 which would be 5.79%

anonymous · Answer

I*

campbell_st · Answer

ummm well it used natural logs... so I don't know where to go... 

the solution to @DemolisionWolf model wouldn't use logs... it would just be 

$$\sqrt[7]{1.5} - 1 = $$

anonymous · Answer

okay. thanks