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I know how to to one natural log problem (i.e ln(x+2)=0 but I\'m not sure what t

ID: 2844931 • Letter: I

Question

I know how to to one natural log problem (i.e ln(x+2)=0 but I'm not sure what to do when there is two of them. I tried doing them separately and adding them together and it was incorrect. Please show steps!

A) Find the solution(s) of the logarithmic equation

correct to four decimal places.
If there is more than one solution write them separated by commas.

B) Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal places.

I know how to to one natural log problem (i.e ln(x+2)=0 but I'm not sure what to do when there is two of them. I tried doing them separately and adding them together and it was incorrect. Please show steps! Find the solution(s) of the logarithmic equation ln(x+2) + ln(x-2) =0 correct to four decimal places. If there is more than one solution write them separated by commas. Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal places. 2^{2x+19}=3^{x-24}

Explanation / Answer

(x+2)* (x-2) =1

=> x = +or _ squre root of 5

2)



2^(2x+9) = 3^(x-24)


taking natural log for both side

ln2^(2x+9) = ln 3^(x-24)


=> x= -9-24*in3/ln2 / 2-ln3/ln2 = -113.33698