log_{25}(x+10)^{12}-log_5\nthroot{3}{x+10}=1

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

log_{9}(4\cdot x)+log_{9}(y+242)=4+log_{9}(4)

log_{10}(x)-log_{10}(y)=3

log_{10}(2\cdot x)+log_{10}(y+99)=5+log_{10}(2)

log_{36}(x+12)^{6}-log_6\nthroot{4}{x+12}=1

log_3(x+y)-log_3(y-4)=1

3^{x}=3^5\cdot3^{y}

log_{25}(x+10)^{12}-log_5\nthroot{7}{x+10}=1

9log2+ylog4=xlog2

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

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

log_{4}(3\cdot x)+log_{4}(y+30)=4+log_{4}(6)

10log3+ylog9=xlog3

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

log_2(x+y)-log_2(y-7)=1

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

log_{9}(x+14)^{12}-log_3\nthroot{4}{x+14}=1

log_{36}(x+6)^{4}-log_6\nthroot{5}{x+6}=1

10log4+ylog16=xlog4

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

3log5+ylog25=xlog5

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

6log6+ylog36=xlog6

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

log_{25}(x+15)^{8}-log_5\nthroot{7}{x+15}=1

log_7(x+y)-log_7(y-6)=1

7^{x}=7^2\cdot7^{y}

log_2(x+y)-log_2(y-8)=1

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

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

log_{6}(2\cdot x)+log_{6}(y+107)=3+log_{6}(2)

13log10+ylog100=xlog10

xlog9-2ylog27=\frac{1}2log81

log_{10}(x)-log_{10}(y)=1

log_{10}(4\cdot x)+log_{10}(y+99)=3+log_{10}(4)

log_6(x+y)-log_6(y-2)=1

6^{x}=6^5\cdot216^{y}

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

2^{x}=2^4\cdot4^{y}

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

log_{9}(4\cdot x)+log_{9}(y+242)=3+log_{9}(4)