Express each of the following in exponential form :

(i) $l o g_{8} 0.125 = - 1$

(ii) $l o g_{10} 0.01 = - 2$

(iii) $l o g_{a} A = x$

(iv) $l o g_{10} 1 = 0$

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Solution

(i) $l o g_{8} 0.125 = - 1$
$8^{- 1}$ =0.125

(ii) $l o g_{10} 0.01 = - 2$

$10^{- 2} = 0.01$

(iii) $l o g_{a} A = x$
$a^{x} = A$

(iv) $l o g_{10} 1 = 0$
$10^{0} = 1$

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