SOLUTION: Solve for x. round your answer to the nearest hundredth. 2.7^x-25=12

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Question 62747: Solve for x. round your answer to the nearest hundredth. 2.7^x-25=12
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x. round your answer to the nearest hundredth.
2.7^(x-25)=12
ln(2.7^(x-25))=ln(12)
(x-25)ln(2.7)=ln(12)
xln(2.7)-25ln(2.7)=ln(12)
xln(2.7)-25ln(2.7)+25ln(2.7)=ln(12)+25ln(2.7)
xln(2.7)=ln(12)+25ln(2.7)
xln(2.7)/ln(2.7)=(ln(12)+25ln(2.7))/ln(2.7)
x=(ln(12)+25ln(2.7))/ln(2.7)
x=27.50178929
highlight%28x=27.50%29
I always check these on my calculator:
2.7^(27.50178929-25)=12
2.7^2.501789292=12
12=12 We're right!!!
Happy Calculating!!!