Math  /  Algebra

QuestionUse properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefricients 5logbx+3logbz5 \log _{b} x+3 \log _{b} z \square

Studdy Solution
Use the product rule of logarithms, which states that logbM+logbN=logb(M×N) \log_b M + \log_b N = \log_b (M \times N) , to combine the terms:
logbx5+logbz3=logb(x5×z3) \log_b x^5 + \log_b z^3 = \log_b (x^5 \times z^3)
The expression as a single logarithm is:
logb(x5z3) \log_b (x^5 z^3)

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