log_{9}(x+10)^{4}-log_3\nthroot{5}{x+10}=1

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

log_{2}(3\cdot x)+log_{2}(y+1)=3+log_{2}(9)

log_{49}(x+3)^{12}-log_7\nthroot{7}{x+3}=1

log_{4}(x+11)^{2}-log_2\nthroot{7}{x+11}=1

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

7^{x}=7^4\cdot49^{y}

3log3+ylog9=xlog3

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

log_{5}(x)-log_{5}(y)=2

log_{5}(2\cdot x)+log_{5}(y+24)=4+log_{5}(2)

log_{4}(x+12)^{2}-log_2\nthroot{4}{x+12}=1

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

log_{6}(4\cdot x)+log_{6}(y+321)=4+log_{6}(12)

log_{25}(x+8)^{8}-log_5\nthroot{6}{x+8}=1

log_6(x+y)-log_6(y-3)=1

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

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

log_{5}(4\cdot x)+log_{5}(y+23)=3+log_{5}(8)

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

log_{4}(2\cdot x)+log_{4}(y+14)=3+log_{4}(4)

13log10+ylog100=xlog10

xlog4-2ylog8=\frac{1}5log1024

log_{9}(x+11)^{4}-log_3\nthroot{6}{x+11}=1

12log5+ylog25=xlog5

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

12log4+ylog16=xlog4

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

log_{5}(x)-log_{5}(y)=2

log_{10}(4\cdot x)+log_{10}(y+397)=4+log_{10}(12)

log_{4}(x+8)^{10}-log_2\nthroot{5}{x+8}=1

6log3+ylog9=xlog3

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

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

2^{x}=2^6\cdot8^{y}

2log6+ylog36=xlog6

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

log_{49}(x+16)^{10}-log_7\nthroot{4}{x+16}=1

5log5+ylog25=xlog5

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