If $$log(2^{a} imes3^{b} imes5^{c} )$$is the arithmetic mean of $$log ( 2^{2} imes3^{3} imes5)$$, $$log(2^

Question

If $$log(2^{a}	imes3^{b}	imes5^{c} )$$is the arithmetic mean of $$log ( 2^{2}	imes3^{3}	imes5)$$, $$log(2^{6}	imes3	imes5^{7} )$$, and $$log(2 	imes3^{2}	imes5^{4} )$$, then a equals

Accepted Answer

l o g ( 2 a × 3 b × 5 c ) log(2^{a}	imes3^{b}	imes5^{c} ) l o g ( 2 a × 3 b × 5 c ) = l o g ( 2 2 × 3 3 × 5 ) + l o g ( 2 6 × 3 × 5 7 ) + l o g ( 2 × 3 2 × 5 4 ) 3 \frac{log ( 2^{2}	imes3^{3}	imes5) + log(2^{6}	imes3	imes5^{7} ) + log(2 	imes3^{2}	imes5^{4} ) }{3} 3 l o g ( 2 2 × 3 3 × 5 ) +

If $log(2^{a}\times3^{b}\times5^{c} )$ is the arithmetic mean of $log ( 2^{2}\times3^{3}\times5)$ , $log(2^{6}\times3\times5^{7} )$ , and $log(2 \times3^{2}\times5^{4} )$ , then a equals

If $log(2^{a}\times3^{b}\times5^{c} )$ is the arithmetic mean of $log ( 2^{2}\times3^{3}\times5)$ , $log(2^{6}\times3\times5^{7} )$ , and $log(2 \times3^{2}\times5^{4} )$ , then a equals

If log(2a×3b×5c)log(2^{a}\times3^{b}\times5^{c} )log(2a×3b×5c)is the arithmetic mean of log(22×33×5)log ( 2^{2}\times3^{3}\times5)log(22×33×5), log(26×3×57)log(2^{6}\times3\times5^{7} )log(26×3×57), and log(2×32×54)log(2 \times3^{2}\times5^{4} )log(2×32×54), then a equals

If log(2a×3b×5c)log(2^{a}\times3^{b}\times5^{c} )log(2a×3b×5c)is the arithmetic mean of log(22×33×5)log ( 2^{2}\times3^{3}\times5)log(22×33×5), log(26×3×57)log(2^{6}\times3\times5^{7} )log(26×3×57), and log(2×32×54)log(2 \times3^{2}\times5^{4} )log(2×32×54), then a equals

If $log(2^{a}\times3^{b}\times5^{c} )$ is the arithmetic mean of $log ( 2^{2}\times3^{3}\times5)$ , $log(2^{6}\times3\times5^{7} )$ , and $log(2 \times3^{2}\times5^{4} )$ , then a equals

If $log(2^{a}\times3^{b}\times5^{c} )$ is the arithmetic mean of $log ( 2^{2}\times3^{3}\times5)$ , $log(2^{6}\times3\times5^{7} )$ , and $log(2 \times3^{2}\times5^{4} )$ , then a equals