Question

$hallar x \\5^{x} . 25 = 125^{7}$$hallar x \\5^{x} . 25 = 125^{7}$

Answer 1

Respuesta:

x=19

Explicación paso a paso:

Hallar "x":

$5^x\cdot \:25=125^7\\\frac{5^x\cdot \:25}{25}=\frac{125^7}{25}\\5^x=\frac{125^7}{25}$

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$\frac{125^7}{25}\\125^7=5^{21}\\25= 5^2\\=\frac{5^{21}}{5^2}\\=5^{21-2}\\=5^{19}$

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$5^x=5^{19}\\x=19$