SOLUTION: I have the exponential function P(x)=8(3)^x. I need to first explain and show how to convert it into a logarithmic function, and then I need to explain and show how to convert it i

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I have the exponential function P(x)=8(3)^x. I need to first explain and show how to convert it into a logarithmic function, and then I need to explain and show how to convert it i      Log On


   



Question 882866: I have the exponential function P(x)=8(3)^x. I need to first explain and show how to convert it into a logarithmic function, and then I need to explain and show how to convert it into a base 10 logarithmic function. I'm very confused and need help please!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P%28x%29+=+8%2A3%5Ex+
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Find the log to the base +3+ of both sides
+log%28+3+%2C+P%28x%29+%29+=+log%28+3+%2C+8+%29+%2B+log%28+3+%2C+3%5Ex+%29+
+log%28+3+%2C+P%28x%29+%29+=+log%28+3+%2C+%288%29+%29+%2B+x+
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You can find the log to the base +10+ of both sides
+log%28+P%28x%29+%29+=+log%28+8+%29+%2B+log%28+3%5Ex+%29+
+log%28+P%28x%29+%29+=+log%28%28+8+%29%29+%2B+x%2Alog%28%28+3+%29%29+