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Help with Algebra problem?
Use the Laws of logarithms to rewrite the expression
log_3_(x^13 3√y^2)
in a form with no logarithm of a product, quotient or power.
After rewriting we have
log_3_(x^13 3√y^2) = A log_3_ + B log_3_y
With the constant A = ?
With the constant B = ?
1 Answer
- DWReadLv 78 years agoFavorite Answer
Can't tell if you mean 3√y² or ∛y².
General rules:
log(ab) = log(a) + log(b)
log(aⁿ) = n·log(a)
log₃(x¹³∛y²) = log₃(x¹³) + log₃(∛y²)
= log₃(x/1/3) + log₃((y²)^(1/3))
= 13log₃(x) + (2/3)log₃(y)
