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

Guest Jul 16, 2016

edited by Guest Jul 16, 2016

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+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

MaxWong · Answer 1 · 2016-07-16T12:13:41

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

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

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

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Melody · Answer 2 · 2016-07-16T12:04:11

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