Question

0,125 . 10(Elevado a X) = 0,0008
Qual o valor de X?

Answer 1

Boa noite


0.125 * 10^x = 0.0008 

0.125 * 10^x = 1/1250

125 * 10^x = 1000/1250

10^x = 8/1250 = 4/625 

x*log(10) = log(4/625) 

x = log(4) - log(625) = 2log(2) - 4log(5) 

x = 2log(2) - 4 + 4log(2) = 6log(2) - 4 = 6*0.30 - 4 

x = 1.80 - 4 = -2.20 

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