Hello EmillyYou'll have to use a numerical method or something like a spreadsheet to solve this equation, and it will only have a solution for certain values of and .

I attach a graph I produced inExcel, to show the result when and . For these values, the equation has the approximate solution , which I found this value usingExcel's 'Goal Seek'. There is also another branch of the log graph for values of less than , which I haven't included in the diagram.

You'll see that there are no points on the log graph where , and as , the graph from below. So there won't be any solution if for positive values of .

I'll leave you to work out what will happen to the graphs for different values of and .

Grandad