## anonymous 3 years ago how can u rewrite these logarithmic equations an equivalent exponent equation or the other way around m=loga x is equivalent to am=x1. log3 5=y,2. loga 7=-2then solvelog2x=-3,logx9=1/2

1. anonymous

need help solving and rewriting

2. anonymous

can u go over with this with me and help rewrite and solve

3. anonymous

with attachment to help

4. anonymous

Sorry for the delay, my paid gig had some one show up. You've seen: $\log_{a} b=x \rightarrow a^{x}=b$

5. anonymous

ok

6. anonymous

$\log_{3} 5=y$ What is the "base"?

7. anonymous

5

8. anonymous

No. In exponential form $3^y=5$ so the 3 is the base

9. anonymous

$base^{exponent}=answer$

10. anonymous

In log form $\log_{base}answer =exponent$

11. anonymous

OK?

12. anonymous

ok

13. anonymous

What is $\log_{4} 16 = 2$ in exponential form?

14. anonymous

4y=16,

15. anonymous

right, 4^2 = 16

16. anonymous

If we had to write $3^2=9$ in log form, we'd write $\log_{3}9=2$

17. anonymous

OK?

18. anonymous

ok

19. anonymous

Your second problem is $\log_{a}7=2$ What is the base here?

20. anonymous

7y=-2

21. anonymous

The base is a (it is that small sub scripted (a)

22. anonymous

ok

23. anonymous

The exponent is on the right side of the equal sign

24. anonymous

-2

25. anonymous

a7

26. anonymous

Right, so try writing the a, the 7 and the -2 in exponential form

27. anonymous

7a=-2

28. anonymous

a is the base -2 is the exponent and the 7 is the "answer"

29. anonymous

$a^{-2}=7$

30. anonymous

ok

31. anonymous

so it would bea-2=7

32. anonymous

How about $\log_{a} 30 = 5$ What is that in exponential form?

33. anonymous

Base is ___ Exponent is ____ and the answer is _____

34. anonymous

a30=5

35. anonymous

30

36. anonymous

37. anonymous

right, 30 is the answer a is the base and 5 is the exponent

38. anonymous

Try watching the first few minutes of this video http://patrickjmt.com/properties-of-logarithms-part-1/

39. anonymous

How did the video help?

40. anonymous

ok