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

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

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# 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

You can put this solution on YOUR website!
Comment: log mean "exponent" or "power".
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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____
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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)_____

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Cheers,
Stan H.