log x base a divid… - QuestionCove
OpenStudy (anonymous):

log x base a divided by log x base ab is equal to..??

6 years ago
OpenStudy (anonymous):

(log a + log b )/ log a

6 years ago
OpenStudy (anonymous):

options are a. 1+log b base a b. 1+log a base b c. 1- log b base a d. 1-log a base b

6 years ago
OpenStudy (anonymous):

a.1+ log b base a is the right answer

6 years ago
OpenStudy (anonymous):

how u got that

6 years ago
OpenStudy (anonymous):

okay im gonna illustrate it step by step

6 years ago
OpenStudy (anonymous):

take the bottom term log x base ab = log x base a devided by log ab base a

6 years ago
OpenStudy (anonymous):

now devide the top term by the bottom term as your given formula so that your top logx base a will cancel with the one in the bottom

6 years ago
OpenStudy (anonymous):

formula will be simpilified to log ab base a

6 years ago
OpenStudy (anonymous):

now use the well known log ab base a = log a base a + log b base a

6 years ago
OpenStudy (anonymous):

log a base a = 1

6 years ago
OpenStudy (anonymous):

the the final answer is 1 + log b base a

6 years ago
OpenStudy (anonymous):

got it ?

6 years ago
OpenStudy (anonymous):

ya

6 years ago