SOLUTION: I need help with these two problems please! Solve for x without tables: 1) x = log(base 5) 1 x= ____ 2) x = log(base e)sqrt of e x= _____ ~Sarah

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Question 202471: I need help with these two problems please!

Solve for x without tables:

1) x = log(base 5) 1
x= ____

2) x = log(base e)sqrt of e
x= _____

~Sarah

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation.


Rewrite as


Note: for all any x where


Pull down the exponent using the identity


Multiply


So the solution is







# 2


Start with the given equation.


Convert to exponential notation.


Pull down the exponent using the identity


Evaluate the log base "e" of "e" to get 1


Multiply


So the solution is

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Comment: log mean "exponent" or "power".
-----------------
1) x = log(base 5) 1
Comment: Your problem says "x is the exponent of 5 that gives you 1"
5^x = 1
x= 0____
===============================
2) x = log(base e)sqrt of e
Comment: Your problem says "x is the exponent of e that gives you (e)^(1/2).
e^x = e^(1/2)
x= (1/2)_____

============================
Cheers,
Stan H.

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