log_{36}(x+10)^{10}-log_6\nthroot{4}{x+10}=1

log_{49}(x+11)^{6}-log_7\nthroot{4}{x+11}=1

15log5+ylog25=xlog5

xlog16-2ylog64=\frac{1}6log16777216

log_3(x+y)-log_3(y-5)=1

3^{x}=3^6\cdot3^{y}

2log2+ylog4=xlog2

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

log_6(x+y)-log_6(y-3)=1

6^{x}=6^1\cdot36^{y}

log_{9}(x+12)^{10}-log_3\nthroot{6}{x+12}=1

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

3^{x}=3^2\cdot27^{y}

13log3+ylog9=xlog3

xlog16-2ylog64=\frac{1}3log4096

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

2^{x}=2^1\cdot4^{y}

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

log_{4}(3\cdot x)+log_{4}(y+29)=4+log_{4}(9)

log_{25}(x+4)^{2}-log_5\nthroot{6}{x+4}=1

10log5+ylog25=xlog5

xlog4-2ylog8=\frac{1}4log256

2log5+ylog25=xlog5

xlog16-2ylog64=\frac{1}2log256

log_{25}(x+5)^{6}-log_5\nthroot{4}{x+5}=1

log_{4}(x+5)^{8}-log_2\nthroot{3}{x+5}=1

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

log_{10}(3\cdot x)+log_{10}(y+18)=2+log_{10}(6)

log_3(x+y)-log_3(y-2)=1

3^{x}=3^6\cdot27^{y}

log_{49}(x+2)^{8}-log_7\nthroot{7}{x+2}=1

7log6+ylog36=xlog6

xlog16-2ylog64=\frac{1}4log65536

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

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

11log5+ylog25=xlog5

xlog16-2ylog64=\frac{1}4log65536

log_{49}(x+14)^{4}-log_7\nthroot{7}{x+14}=1

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

log_{2}(2\cdot x)+log_{2}(y-1)=3+log_{2}(6)