( log_(5)(8) )/( log_(5)( √(8) ) ) Please I need your help​

Question

`( log_(5)(8) )/( log_(5)( √(8) ) )`
Please I need your help​

Answer 1

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

Answer 2

2

Explanation:

to understand this

you need to know about:

• logarithm
• simplifying logarithm
• PEMDAS

tips and formulas:

`( log_(a)(x) )/( log_(a)(b) ) = log_(b)(x)`

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

let's solve:

`( log_(5)(8) )/( log_(5)( √(8) ) )`

`step - 2 : simplify`

`log_( √(8) )(8)`

`log_( √(8) )(( √(8)) ^(2) )`

`\huge \therefore \: 2`