SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 52x + 1 = 33 x=

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 52x + 1 = 33 x=      Log On


   

Question 949837: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
52x + 1 = 33
x=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to assume the equation is 5%5E%282x%2B1%29=33


5%5E%282x%2B1%29=33


log%28%285%5E%282x%2B1%29%29%29=log%28%2833%29%29 Apply logs to both sides


%282x%2B1%29log%28%285%29%29=log%28%2833%29%29


2x%2Alog%28%285%29%29%2Blog%28%285%29%29=log%28%2833%29%29


2x%2Alog%28%285%29%29=log%28%2833%29%29-log%28%285%29%29


x%2A2%2Alog%28%285%29%29=log%28%2833%29%29-log%28%285%29%29


x=%28log%28%2833%29%29-log%28%285%29%29%29%2F%282%2Alog%28%285%29%29%29


x=0.58625114844549 Use a calculator here (this is approximate)


x=0.5863 Round to 4 decimal places (this is approximate)