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

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

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

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

7^{x}=7^3\cdot49^{y}

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

2^{x}=2^1\cdot8^{y}

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

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

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

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

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

log_{25}(x+14)^{2}-log_5\nthroot{7}{x+14}=1

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

7^{x}=7^6\cdot343^{y}

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

log_{6}(2\cdot x)+log_{6}(y+52)=3+log_{6}(4)

log_{25}(x+9)^{6}-log_5\nthroot{7}{x+9}=1

log_{9}(x+3)^{10}-log_3\nthroot{5}{x+3}=1

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

log_{10}(2\cdot x)+log_{10}(y+97)=5+log_{10}(6)

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

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

log_{9}(x+4)^{2}-log_3\nthroot{6}{x+4}=1

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

log_{30}(4\cdot x)+log_{30}(y+269)=3+log_{30}(4)

log_6(x+y)-log_6(y-4)=1

6^{x}=6^3\cdot36^{y}

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

3log2+ylog4=xlog2

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

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

log_{10}(3\cdot x)+log_{10}(y+37)=3+log_{10}(9)

log_{25}(x+14)^{2}-log_5\nthroot{6}{x+14}=1

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

log_{15}(3\cdot x)+log_{15}(y+674)=3+log_{15}(3)

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

7^{x}=7^5\cdot343^{y}

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

log_{5}(3\cdot x)+log_{5}(y+23)=5+log_{5}(6)