## anonymous 5 years ago 25e^0.1x/e^0.1x + 3=10

1. anonymous

Can you type it out using the equation toolbox? This question is unclear.

2. anonymous

Written as it, it works out to 25+3 = 10 which makes no sense.

3. anonymous

yes, exactly.

4. anonymous

yes exactly u r true

5. anonymous

dhatra aditya its seem to be that u r indian

6. anonymous

$25e^0.1x \div e^0.1x +3 = 10$

7. anonymous

$\frac{25e^{0.1x}}{e^{0.1x}}+3=10$Is that what you're saying?

8. anonymous

Yes, sorry

9. anonymous

thats the same as 25 = 7.

10. anonymous

If what I've written is correct, there are no solutions. The statement is false.

11. anonymous

The 3 is written in the denominator

12. anonymous

AHHHH....

13. anonymous

But you'd have$\frac{25}{3}=10$

14. anonymous

Unless it's$\frac{25e^{0.1x}}{e^{0.1x}+3}=10$

15. anonymous

Is that what you mean ^^ ?

16. anonymous

yes, that

17. anonymous

Okay...

18. anonymous

Multiply both sides by$e^{0.1x}+3$to obtain$25e^{0.1x}=10(e^{0.1x}+3)=10e^{0.1x}+30$

19. anonymous

Subtract 10e^(0.1x) from both sides to get$15e^{0.1x}=30 \rightarrow e^{0.1x}=2$

20. anonymous

Now take the natural logarithm of both sides:$\ln e^{0.1x}=\ln 2 \rightarrow 0.1x=\ln 2$Multiply both sides by 10 to give,$x=10\ln 2$

21. anonymous

hello