Hello Tesphen Just put into your calculator, press the log button, and solve for :

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!

Grandad