Take the logarithm of both sides. The base of the logarithm doesn't matter.


Drop the exponents:

Expand the right side:

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :


Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

You can stop there, or continue simplifying the solution by using properties of logarithms:



You can condense the solution further using the change-of-base identity,

Kropot72
kropot72 3 years ago
This can be solved by using a standard normal distribution table. The z-score for 34 pounds is 1, the reason being that 34 is one standard deviation above the mean of 28 pounds.
Can use the table to find the cumulative probability for z = 1.00 and post the result? If you do this we can do the next simple steps.
The number is -13.
In order to find this, we first need to make each part of the statement into a mathematical statement.
Twice the difference of a number and 2.
2(x - 2)
Three times the sum of the number and 3
3(x + 3)
Now we can set them equal to each other and solve.
2(x - 2) = 3(x + 3) ----> Distribute
2x - 4 = 3x + 9 ------> Subtract 2x from both sides
-4 = x + 9 -----> Subtract 9 from both sides
-13 = x
8 = letter
c = vowels
8 -c = consonants
_____________
c = 3
so, you've got three vowels