Question

Logarithms. Explanation required

Answer 1

125

Explanation:

`\huge \: {8}^{ log_(2)(5) } \\ \\ \huge \: = { {2}^(3) }^{ log_(2)(5) } \\ \\ \huge \: = { {2}}^{ log_(2)(5)^(3) } \\ \\\huge \: ={ {2}}^{ log_(2)(125 )} \\ \\ \huge \: = 125 \: \: ( \because \: {a}^{ log_(a)(x)} =x)`