5. (Expanding and combining logs) Your friend has asked you

Last updated: 7/22/2022

5. (Expanding and combining logs) Your friend has asked you to check their work on the problems below. For each problem, identify the mistake(s) and write the correct answer. Hint: Two of the problems have one mistake. One of the problems has more than one mistake. a) logb(x)+8 logb(y) = logb(x) + logb(y^8) = logb(x + y^8) b) ln x + 3 lny - 2 lnz = ln x + ln y³ - In z² = ln(xy³) — ln z² In xy²/In z² c) logb(x²/yz³) = logx² -log(yz³) = logx² -logy+logz³ = 2logx-logy+3log z