SOLUTION: Express Log functions as exponentil functions: a. Log m = 3 my answer:3 b. log 5 =y c. ln b =2 For B and C I'm extremely unsure of how to do them, I do not even know

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Express Log functions as exponentil functions: a. Log m = 3 my answer:3 b. log 5 =y c. ln b =2 For B and C I'm extremely unsure of how to do them, I do not even know       Log On


   



Question 108817: Express Log functions as exponentil functions:
a. Log m = 3 my answer:3
b. log 5 =y
c. ln b =2
For B and C I'm extremely unsure of how to do them, I do not even know where to start.
Thank you for your help.

Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express Log functions as exponentil functions:
a. Log m = 3 my answer:3
b. log 5 =y
c. ln b =2
----------------
When you see logx = y you are saying "the exponent is y"
Keep in mind: log means "exponent" or "power"
-----------------
a. log m = 3
means "the exponent is 3"
m = 10^3 is the corresponding exponential equation.
==============
b. log 5 = y
means "the exponent is y"
5 = 10^y is the corresponding exponential equation.
-------------
c. ln b = 2
means "the exponent is 2"
b = e^2
=============
Cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The log function, for base 10, gives you a number in the form of
y=10%5Ex.
In other words, for y=100, the log(y)=2, since y=10%5E2=100.
Logarithms help because large numbers can be handled as small numbers.
Instead of using one million (1,000,000), I use log(1,000,000)=log(10^6)=6.
So what number is it when log(y)=3, then y=10%5E3=1000
a.)y=10%5E3=1000
b.)log (5)=y, what number do I need so that 10%5Ey=5.
You can use a calculator, log tables, etc. to find the value.
It's greater than 0, since 10%5E0=1 and less than 1 since 10%5E1=10.
y=0.699.
c.)Natural log is similar to log except the base is different (e vs. 10).
The natural log function, for base e, gives you a number in the form of
y=e%5Ex.
"e" is a special number in mathematics, equal to approximately 2.71828.
Similar to log function above, if ln(b)=2, then b=e%5E2 and
b= 7.388