Hello, can you please slove the logarithm? I don't understand how to open it.

$\displaystyle Log_7[x+log_2(9-2^x)+4]=1$

I tried this

$\displaystyle Log_7(x+4)+Log_9(9-2^x)=1$

But not sure if it is right and don't know what to do next.

EDIT:Oops, wrong topic :x