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Mary is solving the equation 2n – 3 = 83. Her first three steps are shown:

Step 1: 2n – 3 = 83

Step 2: 2n = 86

Step 3: ln 2n = ln 86


Which shows Step 4?

A.) ln 2 = nln 86

B.) n + ln 2 = ln 86

C.) nln 2 = ln 86

D.) n = ln 86 – ln2

Verified Answer :

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2^n - 3 = 83 
2^n = 86 
ln(2^n) = ln(86) 
n*ln(2) = ln(86) 
n= ln(86)/[ln(2)] (which is the same as "log base 2 of 86") 
n= 6.426264755

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