Answer:
15 muffins
Step-by-step explanation:
We can use proportion to solve this.
Let x be the number of muffins that can be made with 5 cups of flour
4 cups = 12 muffins
5 cups = x
cross-multiply
4×x = 12 × 5
4x = 60
Divide both-side of the equation by 4
=
(On the left-hand side of the equation, 4 on the numerator will cancel-out 4 on the denominator, while on the right-hand side of the equation 60 will be divided by 4)
x = 15 muffins
15 muffins can be made with 5 cups of flour.
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