Answer:
68
Step-by-step explanation:
Find the vanilla first by dividing 420 by 7 and multiplying the quotient by 2 to get 120.
Then find the banana using the equation 35/100 = x/420, cross multiply to get 147.
Add 120 and 147 to get 267.
Subtract 267 from 420 to get 153.
Divide 153 by 9 to get 17.
Get the number of lemon cakes by multiplying 17 by 4.
The number of lemon cakes is 68!
(and chocolate cakes is 85)
D is the answer and here’s why
The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
27-2(2w+1)=5w-2(5+w)
27-4w-2=5w-10-2w
25-4w=3w-10
25=7w-10
35=7w
5=w
brainliest :)