Question: 21. Simplify the following into a single logarithm using the Laws of Logarithms. Show all your work. 21095 (m) +310g. (k) - 81095 (y)Algebraically solve

21. Simplify the following into a single logarithm using the Laws of Logarithms. Show all your work. 21095 (m) +310g. (k) - 81095 (y)Algebraically solve the following exponential equation, round to the nearest hundredth if necessary. Please show your work. a. 3(2)^x+1=24B. 5^2x-1=20

The half-life of silver-108 is 418 years. The remaining mass, M, in grams, of an 80 gram sample, after t years, can be modelled by the function shown below. 418 M - 80 17. Algebraically determine the amount of time, f. to the nearest year, that it will take for the sample of silver to decay to 12 grams

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