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Answer:
The goat would cover <u>9 meters</u> in taking 24 steps.
Step-by-step explanation:
<u><em>There is a mistake in the question so the correct question is below:</em></u>
A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?
Now, to find the meters goat cover in taking 24 steps.
As 1 step of horse covers =
So, 3 step of horse covers =
<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>
<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>
<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>
Now, to get the meters goat cover in taking 24 steps by using unitary method:
If, the distance cover by the goat in 4 steps = 1.5 meters
So, the distance cover by the goat in 1 step =
Thus, the distance cover by the goat in 24 steps =
=
=
Therefore, the goat would cover 9 meters in taking 24 steps.
Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x