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log x base a divided by log x base ab is equal to..??
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(log a + log b )/ log a
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
a.1+ log b base a is the right answer
how u got that
okay im gonna illustrate it step by step
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take the bottom term log x base ab = log x base a devided by log ab base a
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
formula will be simpilified to log ab base a
now use the well known log ab base a = log a base a + log b base a
log a base a = 1
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the the final answer is 1 + log b base a
got it ?
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