X Y Z Solver

Hi Nathan,

As you have noticed, solving x = y^z for z is not always obvious. What you need is a logarithm function. You will probably learn about logarithms in grade 12. The common logarithm, or sometimes called 'log base 10' is the one that is most often used. It is written log(x) or log₁₀(x), and is defined for positive values of x by

y = log₁₀(x) if x = 10^y

Equations: Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations 2x-y+2z=2,x=z-4,y=2z-4 so that you understand better.

1. Check the answers by substituting the values of x, y, and z into the original equations 1st Equation: 2x + 2y + 4z = 48 2.8 + 2.6 + 4.5 = 48 16 + 12 + 20 = 48.
2. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

If you have a scientific calculator it will have a logarithm function, perhaps even two logarithm functions. You can check that you are using the common (base 10) log by finding log(10) since log(10)=1 (can you see from the definition why this is true?)

The reason that the log function solves your problem is the fact that

log(a^b) = b log(a)

Here is how I would use logarithms to solve 64 = 2^y for y.

64 = 2^y, so

log(64) = log(2^y) = y log(2)

I then use my calculator to get

1.80617 = y 0.30103, so

X Y Z Graphing Calculator

y = 1.80617/0.30103 = 6.0

X Y Z Vector Calculator

Using your calculator you get a decimal approximation where you knew that the answer is exactly 6, however this method will work even when the answer is not an integer, for example to find y if 63 = 2^y.

Solving X Y Z Equations

Cheers,
Penny