log 0,0000128 na base 0,04
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Aplicando as propriedades operatórias de logaritmos
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Boa tarde Eurides!
Solução!
![log_{0,04}0,0000128\\\\\\
log_{0,04}0,0000128=x\\\\\\
0,0000128=(0,04)^{x}\\\\\\
\frac{128}{10000000}= (\frac{4}{100}) ^{x}\\\\\\\
\frac{2^{7} }{10^{7} }= \frac{2^{2} }{10^{2} } \\\\\\\
(\frac{2}{10})^{7}= (\frac{2}{10}) ^{2x} \\\\\\
2x=7\\\\\\\
x= \frac{7}{2}](https://tex.z-dn.net/?f=log_%7B0%2C04%7D0%2C0000128%5C%5C%5C%5C%5C%5C+%0Alog_%7B0%2C04%7D0%2C0000128%3Dx%5C%5C%5C%5C%5C%5C%0A0%2C0000128%3D%280%2C04%29%5E%7Bx%7D%5C%5C%5C%5C%5C%5C%0A+%5Cfrac%7B128%7D%7B10000000%7D%3D+%28%5Cfrac%7B4%7D%7B100%7D%29+%5E%7Bx%7D%5C%5C%5C%5C%5C%5C%5C%0A+%5Cfrac%7B2%5E%7B7%7D+%7D%7B10%5E%7B7%7D+%7D%3D+%5Cfrac%7B2%5E%7B2%7D+%7D%7B10%5E%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0A+%28%5Cfrac%7B2%7D%7B10%7D%29%5E%7B7%7D%3D+%28%5Cfrac%7B2%7D%7B10%7D%29+%5E%7B2x%7D+%5C%5C%5C%5C%5C%5C%0A2x%3D7%5C%5C%5C%5C%5C%5C%5C%0Ax%3D+%5Cfrac%7B7%7D%7B2%7D++++++++++ "log_{0,04}0,0000128\\\\\\
log_{0,04}0,0000128=x\\\\\\
0,0000128=(0,04)^{x}\\\\\\
\frac{128}{10000000}= (\frac{4}{100}) ^{x}\\\\\\\
\frac{2^{7} }{10^{7} }= \frac{2^{2} }{10^{2} } \\\\\\\
(\frac{2}{10})^{7}= (\frac{2}{10}) ^{2x} \\\\\\
2x=7\\\\\\\
x= \frac{7}{2}")
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Solução!
Boa tarde!
Bons estudos!
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