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4^x+3=10^2-x

 Sep 22, 2014

Best Answer 

 #1
avatar+26388 
+13

4^x+3=10^2-x

$$4^x+3=10^2-x \qquad
4^x=100-3-x \qquad 4^x=97-x$$

$$x \approx 3.275179625$$

 Sep 23, 2014
 #1
avatar+26388 
+13
Best Answer

4^x+3=10^2-x

$$4^x+3=10^2-x \qquad
4^x=100-3-x \qquad 4^x=97-x$$

$$x \approx 3.275179625$$

heureka Sep 23, 2014
 #2
avatar+26388 
+8

4^x+3=10^2-x

$$\\\small{\text{
$ 4^{x+3}=10^{2-x} \quad 4^x*4^3=10^2*10^{-x} \quad (4*10)^x=\frac{5^2}{4^2} \quad 40^x = 1.25^2 \; | \;\ln $
}}
\\
\small{\text{
$ x\ln{(40)}= 2*\ln{(1.25)} \quad x = 2*\frac{\ln{(1.25)}}{\ln{(40)}} \quad x=0.12098175291$
}}$$

 Sep 23, 2014

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