Question

please give full solution​

Answer 1

Answer:

hey

optionc

I got u why u are confused

when base has power in log then reciprocal comes

but in this question power is not for base so no reciprocal

Answer 2

Answer:-

Refer the attachment

$log_{6}(2 {}^{16} \sqrt{6} )$

$log_{6}(6 {}^{3} 6 {}^{1and \: half} )$

$= log_{6}(6 {}^{3 + {1 \: + and \: haf}^{} } {}^{} )$

$= log_{6}(6 {72}^{} )$

$\frac{7}{2} log( \frac{6}{6} )$

$= \frac{7}{2}$