log_6(x+y)-log_6(y-8)=1

6^{x}=6^3\cdot6^{y}

11log10+ylog100=xlog10

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

10log4+ylog16=xlog4

xlog4-2ylog8=\frac{1}3log64

log_{5}(x)-log_{5}(y)=2

log_{10}(2\cdot x)+log_{10}(y+38)=3+log_{10}(4)

log_7(x+y)-log_7(y-10)=1

7^{x}=7^2\cdot343^{y}

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

log_{9}(2\cdot x)+log_{9}(y+241)=3+log_{9}(4)

log_{49}(x+3)^{8}-log_7\nthroot{3}{x+3}=1

log_{25}(x+14)^{6}-log_5\nthroot{7}{x+14}=1

16log10+ylog100=xlog10

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

log_{25}(x+4)^{4}-log_5\nthroot{5}{x+4}=1

log_7(x+y)-log_7(y-2)=1

7^{x}=7^4\cdot343^{y}

log_5(x+y)-log_5(y-7)=1

5^{x}=5^3\cdot25^{y}

log_{36}(x+15)^{6}-log_6\nthroot{5}{x+15}=1

15log3+ylog9=xlog3

xlog25-2ylog125=\frac{1}2log625

13log6+ylog36=xlog6

xlog4-2ylog8=\frac{1}5log1024

12log6+ylog36=xlog6

xlog4-2ylog8=\frac{1}2log16

7log2+ylog4=xlog2

xlog9-2ylog27=\frac{1}4log6561

log_{2}(x)-log_{2}(y)=1

log_{6}(2\cdot x)+log_{6}(y+105)=3+log_{6}(6)

log_2(x+y)-log_2(y-4)=1

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

log_5(x+y)-log_5(y-9)=1

5^{x}=5^2\cdot25^{y}

log_{5}(x)-log_{5}(y)=1

log_{10}(4\cdot x)+log_{10}(y+18)=2+log_{10}(8)

log_6(x+y)-log_6(y-10)=1

6^{x}=6^3\cdot6^{y}

log_{36}(x+16)^{10}-log_6\nthroot{7}{x+16}=1

log_{2}(x)-log_{2}(y)=3

log_{2}(3\cdot x)+log_{2}(y+2)=5+log_{2}(6)