log_{49}(x+9)^{8}-log_7\nthroot{7}{x+9}=1

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

2^{x}=2^2\cdot8^{y}

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

log_{4}(4\cdot x)+log_{4}(y+126)=5+log_{4}(8)

2log5+ylog25=xlog5

xlog25-2ylog125=\frac{1}4log390625

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

log_{10}(4\cdot x)+log_{10}(y+98)=5+log_{10}(8)

log_3(x+y)-log_3(y-7)=1

3^{x}=3^4\cdot27^{y}

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

log_{10}(3\cdot x)+log_{10}(y+8)=2+log_{10}(6)

log_{25}(x+4)^{8}-log_5\nthroot{4}{x+4}=1

log_6(x+y)-log_6(y-6)=1

6^{x}=6^2\cdot36^{y}

log_{9}(x+5)^{2}-log_3\nthroot{4}{x+5}=1

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

log_{6}(3\cdot x)+log_{6}(y+321)=4+log_{6}(9)

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

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

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

log_{6}(2\cdot x)+log_{6}(y+16)=2+log_{6}(4)

log_{36}(x+9)^{12}-log_6\nthroot{6}{x+9}=1

log_5(x+y)-log_5(y-8)=1

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

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

2^{x}=2^4\cdot8^{y}

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

log_{30}(4\cdot x)+log_{30}(y+267)=3+log_{30}(12)

log_6(x+y)-log_6(y-8)=1

6^{x}=6^1\cdot6^{y}

16log10+ylog100=xlog10

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

log_{36}(x+16)^{12}-log_6\nthroot{6}{x+16}=1

log_{4}(x+13)^{4}-log_2\nthroot{4}{x+13}=1

10log3+ylog9=xlog3

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

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

2^{x}=2^4\cdot8^{y}

14log2+ylog4=xlog2

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