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If 5 ^x-3 = 10, what is the value of x?

 Jul 16, 2016
edited by Guest  Jul 16, 2016

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 #2
avatar+9665 
+10

\(\text{I am going to go through the 2 possibilities of what this question means.(5^x-3 and 5^(x-3))}\)

\(5^x-3=10\\ 5^x=13\\ x = log_513\\\text{Which is about 1.59}\)

\(5^{x-3}=10\\ x= log_510 + 3\\\text{Which is about 4.43}\)

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 Jul 16, 2016
 #1
avatar+118659 
+5

If 5 ^x-3 = 10, what is the value of x?

 

\(5^x-3=10\\ 5^x=13\\ log5^x=log13\\ xlog5=log13\\ x=\frac{log13}{log5}\\\)

 

 

(log(13)/log(5)) = 1.593692641167082

 Jul 16, 2016
 #2
avatar+9665 
+10
Best Answer

\(\text{I am going to go through the 2 possibilities of what this question means.(5^x-3 and 5^(x-3))}\)

\(5^x-3=10\\ 5^x=13\\ x = log_513\\\text{Which is about 1.59}\)

\(5^{x-3}=10\\ x= log_510 + 3\\\text{Which is about 4.43}\)

MaxWong Jul 16, 2016

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