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patriot [66]
2 years ago
5

id="TexFormula1" title=" \frac{ log_{5}(8) }{ log_{5}( \sqrt{8} ) } " alt=" \frac{ log_{5}(8) }{ log_{5}( \sqrt{8} ) } " align="absmiddle" class="latex-formula">
Please I need your help​
Mathematics
2 answers:
lara [203]2 years ago
7 0
Log_5(8)/log_5(√8) = log_5(8)/log_5(8^(1/2))
= log_5(8)/((1/2)log_5(8))
= 1/(1/2)
= 2
oee [108]2 years ago
3 0

Answer:

<h2>2</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • logarithm
  • simplifying logarithm
  • PEMDAS
<h3>tips and formulas:</h3>

\frac{ log_{a}(x) }{ log_{a}(b) }  =  log_{b}(x)

log_{x}( {x}^{b} )  = b

<h3>let's solve:</h3>

step - 1 : define

\frac{ log_{5}(8) }{ log_{5}( \sqrt{8} ) }

step - 2 : simplify

log_{ \sqrt{8} }(8)

log_{ \sqrt{8} }(( \sqrt{8}) ^{2}  )

\huge \therefore \: 2

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