| Problem | Video |
|---|---|
| Rewrite $log_{10}(5(x+1))$ as the sum of two logarithms. | Watch |
| Rewrite $ln(x^2 (x+3))$, $log_2 (80\cdot 901)$, $log_5 (x\cdot y^9)$, and $log_{10}(5(x+1))$ as the sum of two logarithms. | Watch |
| Rewrite $ln(x) + ln(x^2-3)$ as a single logarithm. | Watch |
| Rewrite $log_{22}(40) + log_{22}(101)$, $log_3 (11) + log_3 (x^{10}+1)$, $log_5(x) + log_5(y)$, and $ln(x) + ln(x^2-3)$ as a single logarithm. | Watch |
| Expand $log_{10}(x(y+1))$ as much as possible using the logarithmic rules. | Watch |
| Expand $log_{2}(xz^5)$ as much as possible using the logarithmic rules. | Watch |
| Expand $ln\left(\left(\dfrac{ma}{th}\right)^2\right)$ as much as possible using the logarithmic rules. | Watch |
| Expand $log_3 \left( \dfrac{3^3\cdot (y+3)^2}{z^3 x} \right)$ as much as possible using the logarithmic rules. | Watch |
| Expand $log_5 \left( \dfrac{5 \sqrt{x-2}}{(z^2 +1)^3 \sqrt[3]{y^5}} \right)$ as much as possible using the logarithmic rules. | Watch |
Logarithmic Product Rule Example Archive
October 11, 2025
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