Solve for C, log_{0.2}(C+5)>0

  • Option 1)

    (-5, -4)

  • Option 2)

    (-5, 4)

  • Option 3)

    (0, 4)

  • Option 4)

    (0, 5)

 

Answers (1)

As learnt in concept

Logarithmic Function -

f\left ( x \right )= \log\: _{a}x

base:a> 0,a\neq 1

domin:x> 0

Range:f\left ( x \right )\in R

- wherein

 

 log_{0.2}(C+5)> 0

(C+5)< 1

C < -4

also C+5>0

C>-5

Thus, C\in (-5,-4)


Option 1)

(-5, -4)

This is correct option

Option 2)

(-5, 4)

This is incorrect option

Option 3)

(0, 4)

This is incorrect option

Option 4)

(0, 5)

This is incorrect option

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