Question

Answer them properly

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Answer 1

..Question..

☯︎ Find the values :

i) $\sf{log_6 6 }$

ii) $\sf{log_{0.4} 0.4 }$

iii) $\sf{log_100 10}$

iv) $\sf{log_4 256}$

v) $\sf{log_25 125}$

..Answer..

i } $\implies log_6 6 \:=\:x \\ \implies 6 \:=\:x^{6} \\ \implies x\:=\:1$

ii } $\implies log_{0.4} 0.4 \:=\: x \\ \implies 0.4 \:=\: x^{0.4} \\ \implies x\:=\: 1$

iii } $\implies log_100 10 \:=\: x \\ \implies 1 \:=\: x^{10} \\ \implies x\:=\:0$

iv } $\implies log_4 256 \:=\: x \\ \implies 256\:=\: x^{4} \\ \implies x\:=\:4$

v } $\implies log_25 125 \:=\: x \\ \implies 125 \:=\: x^{25} \\ \implies x\:=\: \frac{3}{2}$

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Answer 2

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