Question

(V)
5log10 (2) + 2 log10 (3) - 6log64 (4)
Please answer with Explanation

Answer 1

$5(0.3010) + 2(0.4771) - 6(0.3) = \\ 1.505 + 0.9542 - 1.8 = \\ 2.4592 - 1.8 = \\ 0.6592$
Answer is 0.6592 ......

Answer 2

Logarithm,

We have,

$5 log_{10}(2) + 2 log_{10}(3) - 6log_{64}(4) \\ log_{10}( {2}^{5} ) + log_{10}( {3}^{2} ) - 6 log_{ {2}^{6} }( {2}^{2} ) \\ log_{10}(32 \times 9) - 2 log_{2}(2) \\ log_{10}(288) - 2 \: \: \: \: \: \: \: \: \: \: (as \: log_{x}(x) = 1) \\ or \: 0.4594$

That's it
Hope it helped (^_^メ)