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Question

3^p-5 - 3 = 27

Answer 1

3^(p-5)-3=27

3^(p-5)=30

log3^(p-5)=log30

(p-5)log3=log(3*10)

(p-5)log3=log3+log10

(p-5)=(log3+log10)/log3

(p-5)=(log3+1)/log3

p-5=1+1/log3

p-5=1+1/0.47712125472

p-5=1+2.09590327

p-5=3.09590327

p=5+3.09590327

p=8.09590327

 

Answer 2

3^p-5 -3 = 27

3^p/3⁵ = 30

3^p   = 30(3⁵)

3^p = 7290

ln(3^p) = ln(7290)

pln(3) = ln(7290)

 

p = ln(7290)/ln(3)

 

I hope this helps