SOLUTION: please help me solve: (18^10) = (4^5)(3^x)

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Question 541683: please help me solve: (18^10) = (4^5)(3^x)
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

The easiest way to solve this equation is by using the properties of exponents and logs, and using the natural log.

%2818%5E10%29=%284%5E5%29%283%5Ex%29

%2818%5E10%29%2F%284%5E5%29=%283%5Ex%29

ln%28%2818%5E10%29%2F%284%5E5%29%29=ln%283%5Ex%29

ln%28%2818%5E10%29%2F%284%5E5%29%29=xln%283%29

ln%28%2818%5E10%29%2F%284%5E5%29%29%2Fln3=x

Which would be the exact solution.

But if we wanted an approximation, we can use a calculator:

And it appears to be exactly 20. :)

I hope this helps!