Question

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

Answer 1

need help solving and rewriting

Answer 2

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

Answer 3

with attachment to help

Answer 4

Sorry for the delay, my paid gig had some one show up.

You've seen: \[\log_{a} b=x \rightarrow a^{x}=b\]

Answer 5

ok

Answer 6

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

Answer 7

5

Answer 8

No.
In exponential form \[3^y=5\] so the 3 is the base

Answer 9

\[base^{exponent}=answer\]

Answer 10

In log form
\[\log_{base}answer =exponent \]

Answer 11

OK?

Answer 12

ok

Answer 13

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

Answer 14

4y=16,

Answer 15

right, 4^2 = 16

Answer 16

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

Answer 17

OK?

Answer 18

ok

Answer 19

Your second problem is \[\log_{a}7=2 \]

What is the base here?

Answer 20

7y=-2

Answer 21

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

Answer 22

ok

Answer 23

The exponent is on the right side of the equal sign

Answer 24

-2

Answer 25

a7

Answer 26

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

Answer 27

7a=-2

Answer 28

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

Answer 29

\[a^{-2}=7\]

Answer 30

ok

Answer 31

so it would bea-2=7

Answer 32

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

Answer 33

Base is ___
Exponent is ____
and the answer is _____

Answer 34

a30=5

Answer 35

30

Answer 36

answer

Answer 37

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

Answer 38

Try watching the first few minutes of this video

http://patrickjmt.com/properties-of-logarithms-part-1/

Answer 39

How did the video help?

Answer 40

ok