Apply the logarithm product rule, b M + b N = _b (MN), to the first two terms.

April 18, 2026Mathematics

ScanSolve AI Answer

April 18, 2026

Answer

$\log_a \left(\frac{xy}{z}\right)$

Step 1: Apply the logarithm product rule, $\log_b M + \log_b N = \log_b (MN)$ , to the first two terms. $\log_a x + \log_a y = \log_a (xy)$

Step 2: Apply the logarithm quotient rule, $\log_b M - \log_b N = \log_b \left(\frac{M}{N}\right)$ , to the result from Step 1 and the third term. $\log_a (xy) - \log_a z = \log_a \left(\frac{xy}{z}\right)$

The expression as a single logarithmic term is: $\log_a \left(\frac{xy{z}\right)}$ Send me the next one 📸

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QThe table below shows the record of sales in a week. Use it to answer the questions below.QThe graph below represents the wave y = A + B sin wx in the range 0° <= x <= 360°. Determine the val…QFigure 1 shows a right pyramid with a rectangular base such that VC = 25 cm, AD = 12 cm and AB = 16…QSolve for x: 3x + 7 = 22 QThe first and last terms of an Arithmetic progression (AP) are -3 and 393 respectively. If the progr…

See all Mathematics questions →

Still have questions?

Quick Answer

Apply the logarithm product rule, _b M + _b N = _b (MN), to the first two terms. _a x + _a y = _a (xy) Step 2: Apply the logarithm quotient rule, _b M - _b N = _b ((M)/(N)), to the result from Step 1 and the third term.

Asked on April 18, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 18, 2026

Step 1: Apply the logarithm product rule, _b M + _b N = _b (MN), to the first two terms. _a x + _a y = _a (xy) Step 2: Apply the logarithm quotient rule, _b M - _b N = _b ((M)/(N)), to the result from Step 1 and the third term. _a (xy) - _a z = _a ((xy)/(z)) The expression as a single logarithmic term is: _a ((xy)/(z)) Send me the next one 📸