Question

simplify (a) log 5^( 5 )^(8x−10)

Answer 1

\[\Large \log_{5}(5^{8x-10})\]


\[\Large (8x-10)\log_{5}(5)\]


\[\Large (8x-10)(1)\]


\[\Large 8x-10\]


So \[\Large \log_{5}(5^{8x-10})=8x-10\]

Answer 2

In general, \[\Large \log_{b}(b^x)=x\] where b is positive and not equal to 1