Question

Find the missing value for log4 9- log4 11= log 4 [ ]

Answer 1

Answer:

Step-by-step explanation:

Hi there,

To get started, recall the logarithm rules. For this question, we can use the log rule specifically when subtracting two log functions that have the same base:

$log_b\alpha -log_b\beta =log_b[\frac{\alpha }{\beta } ]$

In this prompt, our base is 4, so b in the above formula. Using this formula, we can find the missing argument (the number inside of the log, what we are asked to solve for):

$log_49-log_411=log_4[\frac{9}{11} ]$   hence the missing argument is 9/11

At this point, there is no easier say to simplify, unless you wish to approximate  9/11 as 0.818. If you wish to solve for the exponent, you will have to use common log or natural log to do so.

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thanks,