In standard scientific notation, the mantissa is always written with one non-zero digit to the left of the decimal point. So, for example, while 847.13×101 is in scientific notation (with a mantissa of 847.13 ) it is not in standard scientific notation which would be 8.4713×103 . What is theRead More →

Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division. Why are logarithms useful in real life? Logarithms put numbersRead More →

Logarithms are the inverse of exponents. A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itselfRead More →