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Find the Soulution to the equation?
Please show work
a) e^5 x e^x=e^7x
b) e^x/e^2=e^5x
Determine the Domain: Please show work
a) g(x)=3^x-2
b) h(x)=6^x^2 +3
2 Answers
- Anonymous9 years ago
a) You combine the exponents: e^(5+x) = e^7x. Since e is a continuous function, 5 + x = 7x, which means x = 5/6
b) You subtract the exponents. e^(x-2) = e^5x --> x - 2 = 5x --> 4x = -2 --> x = -1/2
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a) The domain is all real numbers, since there's no number you can plug in for x that gives any kind of problem.
b) The domain is also all real numbers. You get no divide by zero errors, negative numbers in a square root, or any sort of problem for any number you plug in for x.
