## ToniRogers23 2 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. ToniRogers23

need help solving and rewriting

2. ToniRogers23

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

3. ToniRogers23

with attachment to help

4. TransendentialPI

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

5. ToniRogers23

ok

6. TransendentialPI

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

7. ToniRogers23

5

8. TransendentialPI

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

9. TransendentialPI

$base^{exponent}=answer$

10. TransendentialPI

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

11. TransendentialPI

OK?

12. ToniRogers23

ok

13. TransendentialPI

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

14. ToniRogers23

4y=16,

15. TransendentialPI

right, 4^2 = 16

16. TransendentialPI

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

17. TransendentialPI

OK?

18. ToniRogers23

ok

19. TransendentialPI

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

20. ToniRogers23

7y=-2

21. TransendentialPI

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

22. ToniRogers23

ok

23. TransendentialPI

The exponent is on the right side of the equal sign

24. ToniRogers23

-2

25. ToniRogers23

a7

26. TransendentialPI

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

27. ToniRogers23

7a=-2

28. TransendentialPI

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

29. TransendentialPI

$a^{-2}=7$

30. ToniRogers23

ok

31. ToniRogers23

so it would bea-2=7

32. TransendentialPI

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

33. TransendentialPI

Base is ___ Exponent is ____ and the answer is _____

34. ToniRogers23

a30=5

35. ToniRogers23

30

36. ToniRogers23

37. TransendentialPI

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

38. TransendentialPI

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

39. TransendentialPI

How did the video help?

40. ToniRogers23

ok