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I need help on my homework. Plox, I will give you a thank you in return. 9^x = 1 what is x?

$${{\mathtt{9}}}^{{\mathtt{x}}} = {\mathtt{1}}$$

 Jan 21, 2015

Best Answer 

 #2
avatar+26400 
+10

I need help on my homework. Plox, I will give you a thank you in return. 9^x = 1 what is x  ?

$${{\mathtt{9}}}^{{\mathtt{x}}} = {\mathtt{1}}$$

$$9^x=1 \quad | \quad \ln() \\
x*\ln(9) = \ln(1) \quad | \quad \ln(1) = 0\\
x*\ln(9) = 0 \quad | \quad : \ln(9) \\\\
x = \dfrac{ 0 } { \ln(9) } \\ \\
x = 0 \\
\small{\text{
Proof:
$ 9^0 = 1 $ okay!
}}$$

 Jan 21, 2015
 #1
avatar
0

I think it is  as it gives me 1$${\frac{{{\mathtt{9}}}^{{\mathtt{1}}}}{{\mathtt{9}}}}$$

 Jan 21, 2015
 #2
avatar+26400 
+10
Best Answer

I need help on my homework. Plox, I will give you a thank you in return. 9^x = 1 what is x  ?

$${{\mathtt{9}}}^{{\mathtt{x}}} = {\mathtt{1}}$$

$$9^x=1 \quad | \quad \ln() \\
x*\ln(9) = \ln(1) \quad | \quad \ln(1) = 0\\
x*\ln(9) = 0 \quad | \quad : \ln(9) \\\\
x = \dfrac{ 0 } { \ln(9) } \\ \\
x = 0 \\
\small{\text{
Proof:
$ 9^0 = 1 $ okay!
}}$$

heureka Jan 21, 2015

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