Question

express 6log2+4log3+2log5 in simplified form​

Answer 1

l can't answer sorry but I will help you next time

Answer 2

SOLUTION

TO EXPRESS

$\sf{}6 \log 2+ 4 \log 3 + 2 \log 5$

in simplified form

FORMULA TO BE IMPLEMENTED

$\sf{} 1. \: \: \: \log (ab) = \log a+ \log b$

$\sf{}2. \: \: \log ({x}^{m} ) = m \log x$

EVALUATION

$\sf{}6 \log 2+ 4 \log 3 + 2 \log 5$

$= \sf{} \log ( {2}^{6} )+ \log ( {3}^{4} )+ \log ( {5}^{2} ) \: (\: by \: formula \: 2)$

$= \sf{} \log 64+ \log 81+ \log 25$

$= \sf{} \log ( 4 \times 16 )+ \log 81+ \log 25 \:$

$= \sf{} \log 16 + \log 4+ \log 81+ \log 25 \: (by \: formula \: 2)$

$= \sf{} \log 16 + \log 81+ \log 4 + \log 25 \:$

$= \sf{} \log (16 \times 81)+ \log( 4 \times 25) \:$

$= \sf{} \log {(2 \times 3)}^{4} + \log( {10}^{2} ) \:$

$= \sf{}4 \log (2 \times 3) + 2 \log( {10}) \:$

$= \sf{}4 \log 6 + 2 \: \: ( \because \: \log 10 = 1)$

FINAL ANSWER

$\sf{}6 \log 2+ 4 \log 3 + 2 \log 5 = 4 \log 6 + 2$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

log₁₀(10.01),Find approximate value.

https://brainly.in/question/5598224