log_2(x+y)-log_2(y-6)=1

2^{x}=2^6\cdot4^{y}

log_6(x+y)-log_6(y-5)=1

6^{x}=6^2\cdot216^{y}

log_3(x+y)-log_3(y-10)=1

3^{x}=3^1\cdot27^{y}

log_{3}(x)-log_{3}(y)=1

log_{9}(3\cdot x)+log_{9}(y+241)=3+log_{9}(6)

log_5(x+y)-log_5(y-3)=1

5^{x}=5^6\cdot25^{y}

log_{36}(x+9)^{8}-log_6\nthroot{4}{x+9}=1

5log4+ylog16=xlog4

xlog9-2ylog27=\frac{1}3log729

log_{36}(x+5)^{4}-log_6\nthroot{4}{x+5}=1

8log2+ylog4=xlog2

xlog25-2ylog125=\frac{1}6log244140625

log_{25}(x+10)^{2}-log_5\nthroot{4}{x+10}=1

log_{25}(x+10)^{4}-log_5\nthroot{7}{x+10}=1

log_2(x+y)-log_2(y-3)=1

2^{x}=2^2\cdot8^{y}

log_6(x+y)-log_6(y-9)=1

6^{x}=6^4\cdot216^{y}

log_6(x+y)-log_6(y-4)=1

6^{x}=6^2\cdot6^{y}

log_5(x+y)-log_5(y-10)=1

5^{x}=5^1\cdot5^{y}

7log3+ylog9=xlog3

xlog16-2ylog64=\frac{1}5log1048576

4log2+ylog4=xlog2

xlog4-2ylog8=\frac{1}6log4096

10log10+ylog100=xlog10

xlog25-2ylog125=\frac{1}6log244140625

log_{49}(x+4)^{8}-log_7\nthroot{5}{x+4}=1

log_{2}(x)-log_{2}(y)=2

log_{2}(4\cdot x)+log_{2}(y+1)=4+log_{2}(12)

log_{36}(x+4)^{4}-log_6\nthroot{4}{x+4}=1

log_2(x+y)-log_2(y-9)=1

2^{x}=2^6\cdot4^{y}

12log3+ylog9=xlog3

xlog25-2ylog125=\frac{1}6log244140625

log_{4}(x+3)^{8}-log_2\nthroot{4}{x+3}=1