Ascientist needs 30% solution of acid. he has 4 liters of a 20% solution. how much pure acid does the scientist need to add to get the 30% solution? answer using a table and using one variable only.

 0.57 liters

Step-by-step explanation:

Create a table.  Multiply across and add down.  The bottom row will result in the equation that needs to be solved:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

angle efh= angle egh