# How do you write each number as a power of the given base: 10; base 10?

##### 2 Answers

Jan 11, 2018

No numbers were specified.

In general the number

#### Explanation:

Except for values like

the necessary exponents can be approximated using a calculator or similar means.

By definition, if

For example, (here I used a spreadsheet builtin function since that was what was handy to evaluate

So

Jan 11, 2018

#### Explanation:

#"utilising the "color(blue)"law of logarithms"#

#â€¢color(white)(x)log_bx=nhArrx=b^n#

#rArrlog_(10)10=nrArr10=10^n#

#rArr10^1=10^nrArrn=1#

#"in general "log_b(b)=1#