SOLUTION: Hello Tutor, This problem is confusing me. 4^x+5=e^5x The directions is to solve. We are in a chapter of logarithm. Please help!

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Question 193127This question is from textbook Basic Technical Mathematics
: Hello Tutor,
This problem is confusing me. 4^x+5=e^5x The directions is to solve. We are in a chapter of logarithm. Please help! This question is from textbook Basic Technical Mathematics

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is confusing me. 4^x+5=e^5x The directions is to solve.
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4^(x+5) = e^(5x)
Take the natural log of both sides to get:5ln(
(x+5)*ln(4) = 5x
(ln(4)x - 5x = -5(ln(4)
[ln(4)-5]x = - 5(ln(4))
[-3.61371..x = -6.9315
x = 1.91811..
Cheers,
Stan H.