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2log(5X^3)-(1/2)log(2x+3)?

+1 vote

simplify the expression

logarithmic-expression

asked Feb 22, 2013 in ALGEBRA 1 by Jose Rodriguez Rookie

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1 Answer

+1 vote

2 log 5(x³) - (1/2)log(2x + 3)

Log Rules:

1) log_b(mⁿ) = n · log_b(m)

2) log_b(^m/_n) = log_b(m) – log_b(n)

[log5(x³)]² - log(2x + 3)^1/2

log(5x³)² - log√(2x + 3)

log(25x⁶) - log√(2x + 3)

log[(25x⁶)/√(2x + 3)]

Therefore 2 log 5(x³) - (1/2)log(2x + 3) = log[(25x⁶)/√(2x + 3)]

answered Feb 22, 2013 by richardson Scholar

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