SOLUTION: Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals 2*5^(x-1)=1

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Question 685597: Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals
2*5^(x-1)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals
2*5^(x-1)=1
log2+(x-1)log5=log1
log1=0
log2+(x-1)log5=0
log2+(x-1)log5=-log2
x-1=-log2/log5
x=(-log2/log5)+1 (exact solution)
x=0.5963..