anonymous 5 years ago How do you solve 4 to power of x plus 2= five to power of x

1. anonymous

$4^{x+2}=5^{x}$

2. anonymous

3. anonymous

Yes

4. anonymous

$\ln 4^{x+2}= \ln 5^{?}$

5. anonymous

$\ln 4^{x+2}=\ln 5^{x}$

6. anonymous

$(x+2)*\ln x = x \ln 5$

7. anonymous

(x+2) ln 4 = x ln 5

8. anonymous

(x+2)/x = ln 5 / ln 4

9. anonymous

(x+2) ln 4 = x ln 5 wait, distribute 4 ln x + 2 ln 4 = x ln 5

10. anonymous

i mean x ln 4 + 2 ln 4 = x ln 5 , subtract x ln 4 from both sides

11. anonymous

2 ln 4 = x ln 5 - x ln 4 2 ln 4 = x ( ln 5 - ln 4)

12. anonymous

2ln 4 / ( ln 5 - ln 4 ) = x

13. anonymous

Do it using logs pleeeeeese

14. anonymous

x = 12. 425

15. anonymous

no

16. anonymous

its the same idea,

17. anonymous