log_5(x+y)-log_5(y-3)=1

5^{x}=5^4\cdot5^{y}

6log5+ylog25=xlog5

xlog9-2ylog27=\frac{1}6log531441

log_{9}(x+16)^{8}-log_3\nthroot{3}{x+16}=1

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

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

log_{36}(x+2)^{12}-log_6\nthroot{5}{x+2}=1

9log3+ylog9=xlog3

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

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

log_{3}(2\cdot x)+log_{3}(y+6)=4+log_{3}(6)

log_{36}(x+6)^{8}-log_6\nthroot{6}{x+6}=1

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

log_{4}(2\cdot x)+log_{4}(y+31)=3+log_{4}(2)

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

log_{36}(x+11)^{2}-log_6\nthroot{7}{x+11}=1

log_{49}(x+10)^{8}-log_7\nthroot{6}{x+10}=1

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

log_{6}(2\cdot x)+log_{6}(y+143)=4+log_{6}(2)

log_3(x+y)-log_3(y-8)=1

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

9log6+ylog36=xlog6

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

log_{4}(x+5)^{6}-log_2\nthroot{7}{x+5}=1

log_{49}(x+12)^{10}-log_7\nthroot{5}{x+12}=1

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

log_{30}(4\cdot x)+log_{30}(y+88)=2+log_{30}(8)

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

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

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

3^{x}=3^5\cdot27^{y}

6log10+ylog100=xlog10

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

8log10+ylog100=xlog10

xlog25-2ylog125=\frac{1}3log15625

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

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

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