27pengj
27pengj 27pengj
  • 12-02-2022
  • Mathematics
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Logarithms. Explanation required

Logarithms Explanation required class=

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Hrishii
Hrishii Hrishii
  • 12-02-2022

Answer:

125

Step-by-step explanation:

[tex] \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)[/tex]

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