Question

$\frac{ log_{5}(8) }{ log_{5}( \sqrt{8} ) }$
Please I need your help​

Answer 1

Answer:

2

Step-by-step explanation:

to understand this

you need to know about:

• logarithm
• simplifying logarithm
• PEMDAS

tips and formulas:

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

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

let's solve:

$step - 1 : define$

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

$step - 2 : simplify$

$log_{ \sqrt{8} }(8)$

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

$\huge \therefore \: 2$

Answer 2

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