SOLUTION: write your solution using natural logarithms 3+5^2t-1=75

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Question 869284: write your solution using natural logarithms
3+5^2t-1=75
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the equation is 3%2B5%5E%282t-1%29=75


3%2B5%5E%282t-1%29=75


5%5E%282t-1%29=75-3


5%5E%282t-1%29=72


ln%285%5E%282t-1%29%29=ln%2872%29


%282t-1%29%2Aln%285%29=ln%2872%29


2t-1=ln%2872%29%2Fln%285%29


2t=ln%2872%29%2Fln%285%29%2B1


2t=ln%2872%29%2Fln%285%29%2Bln%285%29%2Fln%285%29


2t=%28ln%2872%29%2Bln%285%29%29%2Fln%285%29


t=%28ln%2872%29%2Bln%285%29%29%2F%282%2Aln%285%29%29