Arrange Equation Log For Free

How do you find the inverse of a log? First, Change f(x) to y and interchange x and y, then write its exponential equation. Next, solve the function for y and finally change y to f inverse of x.

Explanation: In order to eliminate the log based ten, we will need to raise both sides as the exponents using the base of ten. The ten and log based ten will cancel, leaving just the power on the left side. Change the negative exponent into a fraction on the right side.

To rearrange an equation so that another variable becomes the subject, perform the same operations on both sides of the equals sign so that eventually this variable is by itself on the left hand side. Performing the same operations on both sides makes sure that the left hand side is always equal to the right hand side.

How To Change The Subject of a Formula - GCSE Maths - YouTube YouTube Start of suggested clip End of suggested clip But if you want to show your work you can do it like this. So right now we have y minus a is equalMoreBut if you want to show your work you can do it like this. So right now we have y minus a is equal to x. So now that we have x by itself we're done. So the answer is just x is equal to y minus.

When solving by rearranging, remember these rules: Use the opposite operation to move terms from one side to the other. Remember to always do the same operation to both sides of your equation. ... Work in backwards order of operations: Do addition and subtraction before you do your multiplication or division.

Example Rearrange y =11+7x to make x the subject. Solution Starting from y =11+7x we subtract 11 from each side to give y ? 11 = 7x. Then, dividing both sides by 7 gives y ? 11 7 = x. Finally x = y ? 11 7 .