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1. Use the properties of logarithms to simplify each of the following expressions. Your final answer in each case should be a single logarithm of

1. Use the properties of logarithms to simplify each of the following expressions. Your final answer in each case should be a single logarithm of an expression which is itself in simplest form:

(a) log₃(xy) - log₃(xy²) + 2log₃x (b) log₁₃(16x⁵) - 2log₁₃(4x²)

2. Solve the following exponential equations:

(a) e^4t+5= 4872.6 (b) 8 + 3^4x= 17 (c) 9(5^3x-7) = 4(3^5x+2) (d) image text in transcribed

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