The logarithm of the number x to the base a is the exponent indicating the power to which a must be raised to obtain the number x.
Fill in the blanks with proper answers:
(1) When a negative number is raised to an even power, the sign of the number is ……. .
(2) When a positive number is raised to an odd power, the sign of the number is …….. .
(3) When a negative number is raised to an odd power, then the sign of the number is ……. .
(4) (−4)2 = ……
(5) (−3)3 = ……
The definition of a logarithm indicates that it is related to exponents.
“When a number in the index form is raised to another index the base is raised to the product of these two indices.” Which law of indices does this statement correspond to?