Question

Sam is proving the product property of logarithms.StepJustificationlog, (MN)Givenlog, (6* bSubstitutionWhich expression and justification completes the third step of her proof?log, (b); power rule of exponentso log, (6**), subtraction property of exponentslog.(8**");power rule of exponentslogo (8), division property of exponents

Answer 1

Whenever we have the product of two exponents with the same base like so:

$=\log _b(b^x\cdot b^y)$

The result must be the same base with the exponents added.

$=\log _b(b^{x+y})$

The correct answer is "Power rule of exponents".