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Review how fractional exponents connect with roots before starting to expand logs that involve any kind of root or radical. If a root is inside a log, first rewrite it with a fractional exponent, and then move the exponent out in front of the log to make a product. This is allowed because of the product rule. Then expand further into sums or differences.
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Concept (1)
Sample Problems (6)
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Expanding Logarithms
Problem 1 6,891 viewsExpand:
log_{5} 25x² √z 
Expanding Logarithms
Problem 2 5,371 viewsExpand:
log_{9} (ab)³ 9(c + d) 
Expanding Logarithms
Problem 3 4,724 viewsExpand:
log_{4}( 64 )⁻³ ∛x⁴ ⋅ y² 
Expanding Logarithms
Problem 4 474 views 
Expanding Logarithms
Problem 5 548 views 
Expanding Logarithms
Problem 6 479 views
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