simplify-log-3-64-log-4-243-log-2-16-

Question Number 49691 by Rio Michael last updated on 09/Dec/18

s i m p l i f y \frac{{l o g}_{3} 64 \times {l o g}_{4} 243}{{l o g}_{2} 16}

Answered by math1967 last updated on 09/Dec/18

\frac{{l o g}_{3} 4^{3} \times {l o g}_{4} 3^{5}}{{l o g}_{2} 2^{4}} = \frac{3 {l o g}_{3} 4 \times 5 {l o g}_{4} 3}{4 {l o g}_{2} 2}

= \frac{3 \times 5 {l o g}_{3} 4 \times {l o g}_{4} 3}{4 \times 1} = \frac{15 \times 1}{4} = 3.75 a n s

Facebook Tweet Pin