Question

2. 61 - 2" యొక్క సంవర్గమాన రూపము
A) log base 6 6=2
B) log64-6
olog,64-2
D) log,61-6​

Answer 1

Answer:

log_{2\sqrt{2}}64= 4

Step-by-step explanation:

Let \: x = log_{2\sqrt{2}}64

\implies x = log_{2\times 2^{\frac{1}{2}}} 2^{6}

\implies x = log_{2^{\frac{(2+1)}{2}}}2^{6}

\implies x = log_{2^{\frac{(3)}{2}}} 2^{6}

\* we know the logarithmic law:

\boxed {log_{a^{n}}a^{m} = \frac{m}{n}}

\implies x = 6 \times \frac{2}{3}

\implies x = 4