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1)1/5logx-1/5loy=1/5(lox-logy)=1/5(logx/logy)
2)logx+logy-logz=log(xy/z)
3)loga(x/y)-loga(y/x)=loga((x/y)/(y/x))=loga(x^2/y^2)
4)6log7(49)-3log8(1/8)+24log2(32)
6*2 - 3*(-1) + 24*5 = 12 +3 +120 =135
Nota: log7(49)=y...................7^y=49=7^2..................y=2
log8(1/8)=x..................8^x=1/8=8^(-1)..............x=-1
log2(32)=z...................2^z=32=2^5..................z=5
5) 32log81(1/3)-7log7(7)+9log(raizquinta2)16
32(-1/4) -7 +9*20
-8 -7 +180=165
nota;log81(1/3)=x.....81^x=1/3=3^(-1)=3^4(x).........4x=-1................x=-1/4
log7(7)=y.......7^y=7..................................................................y=1
log(raizquinta2)16=log2(16^5)=z
2^z=16^5=2^(4*5)
2^z=2^(20).....................................z=20
2)logx+logy-logz=log(xy/z)
3)loga(x/y)-loga(y/x)=loga((x/y)/(y/x))=loga(x^2/y^2)
4)6log7(49)-3log8(1/8)+24log2(32)
6*2 - 3*(-1) + 24*5 = 12 +3 +120 =135
Nota: log7(49)=y...................7^y=49=7^2..................y=2
log8(1/8)=x..................8^x=1/8=8^(-1)..............x=-1
log2(32)=z...................2^z=32=2^5..................z=5
5) 32log81(1/3)-7log7(7)+9log(raizquinta2)16
32(-1/4) -7 +9*20
-8 -7 +180=165
nota;log81(1/3)=x.....81^x=1/3=3^(-1)=3^4(x).........4x=-1................x=-1/4
log7(7)=y.......7^y=7..................................................................y=1
log(raizquinta2)16=log2(16^5)=z
2^z=16^5=2^(4*5)
2^z=2^(20).....................................z=20
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