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

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

7log4+ylog16=xlog4

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

log_{25}(x+11)^{8}-log_5\nthroot{3}{x+11}=1

log_7(x+y)-log_7(y-9)=1

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

log_{49}(x+14)^{2}-log_7\nthroot{5}{x+14}=1

log_{9}(x+7)^{4}-log_3\nthroot{3}{x+7}=1

15log4+ylog16=xlog4

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

log_5(x+y)-log_5(y-2)=1

5^{x}=5^6\cdot5^{y}

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

log_{15}(2\cdot x)+log_{15}(y+44)=2+log_{15}(2)

log_7(x+y)-log_7(y-7)=1

7^{x}=7^1\cdot7^{y}

3log10+ylog100=xlog10

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

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

log_{4}(3\cdot x)+log_{4}(y+61)=4+log_{4}(9)

8log4+ylog16=xlog4

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

log_{5}(x)-log_{5}(y)=3

log_{5}(2\cdot x)+log_{5}(y+3)=4+log_{5}(4)

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

log_{20}(4\cdot x)+log_{20}(y+157)=4+log_{20}(12)

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

log_{20}(4\cdot x)+log_{20}(y+1599)=4+log_{20}(4)

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

log_{9}(4\cdot x)+log_{9}(y+79)=3+log_{9}(8)

log_{4}(x+7)^{8}-log_2\nthroot{4}{x+7}=1

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

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

log_{4}(x+16)^{12}-log_2\nthroot{3}{x+16}=1

6log3+ylog9=xlog3

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

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

log_{6}(3\cdot x)+log_{6}(y+71)=3+log_{6}(3)

10log5+ylog25=xlog5

xlog25-2ylog125=\frac{1}5log9765625

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

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