SOLUTION: Rewrite each expression in exponential form and determine the value of x.
(a) log49 x=1/2
(b) log9 27 = x
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Question 149400: Rewrite each expression in exponential form and determine the value of x.
(a) log49 x=1/2
(b) log9 27 = x
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rewrite each expression in exponential form and determine the value of x.
(a) log49 x=1/2
x = 49^(1/2) = 7
-------------------------
(b) log9 27 = x
9^x = 27
3^2x = 3^3
2x = 3
x = 3/2
=============
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Start with the given equation.
Rewrite the equation using the property: ====>
Convert from rational notation to radical notation.
Take the square root of 49 to get 7. Note: only the positive square root is considered in this case.
So the answer is
b)
Start with the given equation.
Rewrite the equation using the property: ====>
Rewrite as and as
Multiply the exponents.
Since the bases are equal, the exponents are equal.
Divide both sides by 2.
So the answer is
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