When ,Find y when x = -1
Now you need to use the definition of a logarithm, which is:
- The log (to any base) of a number is that power to which the base must be raised in order to obtain the number.
I know, confusing isn't it? So let's unpack it here. We have
So is the power to which the base must be raised to obtain the number (that's ). So we have:
It's really simple when you know how!
Here we use the law of logs: . So:Express log(y^4) in terms of x
And that's it!
Again, we use the definition of a log that I've given you above. So here we haveFind an expression for y in terms of x
In other words, the log to base of is . So, using the definition, is the power to which we must raise to get . So
And that's your expression for in terms of . I hope that helps to make it clearer!