4log5+ylog25=xlog5

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

log_{49}(x+5)^{10}-log_7\nthroot{7}{x+5}=1

log_{36}(x+15)^{10}-log_6\nthroot{7}{x+15}=1

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

log_{3}(2\cdot x)+log_{3}(y+7)=3+log_{3}(4)

log_7(x+y)-log_7(y-5)=1

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

log_{25}(x+10)^{6}-log_5\nthroot{6}{x+10}=1

log_{4}(x+12)^{10}-log_2\nthroot{7}{x+12}=1

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

log_{6}(4\cdot x)+log_{6}(y+11)=2+log_{6}(4)

5log5+ylog25=xlog5

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

log_{10}(x)-log_{10}(y)=2

log_{30}(4\cdot x)+log_{30}(y+8098)=4+log_{30}(8)

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

7^{x}=7^2\cdot49^{y}

4log4+ylog16=xlog4

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

log_7(x+y)-log_7(y-8)=1

7^{x}=7^4\cdot7^{y}

11log6+ylog36=xlog6

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

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

log_{2}(4\cdot x)+log_{2}(y+1)=5+log_{2}(12)

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

log_{6}(4\cdot x)+log_{6}(y+142)=4+log_{6}(8)

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

log_{10}(2\cdot x)+log_{10}(y+99)=3+log_{10}(2)

log_3(x+y)-log_3(y-6)=1

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

14log5+ylog25=xlog5

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

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

2^{x}=2^3\cdot4^{y}

log_{9}(x+14)^{6}-log_3\nthroot{5}{x+14}=1

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

5^{x}=5^1\cdot125^{y}

12log2+ylog4=xlog2

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

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

6^{x}=6^5\cdot6^{y}