Question

If $lo{g}_{k}A.lo{g}_{5}k=3$, then A=

• A. $5k^3$
• B. $k^3$
• C. 125
• D. 243

Answer 1

The correct option is C

125

$lo{g}_{k}A.lo{g}_{5}k=3$

Using identity, $lo{g}_{m}b.lo{g}_{b}a=lo{g}_{m}a$, we have

$\Rightarrow lo{g}_{5}k.lo{g}_{k}A=3$

$\Rightarrow lo{g}_{5}A=3\Rightarrow A=5^3$