Simplify 5^6^7/5^6 using your knowledge of logarithms. This can easily be done u

Question

Simplify 5^6^7/5^6 using your knowledge of logarithms. This can easily be done using logarithmic and exponential skills you have learned this year. You may work together, try different resources, etc. to help you simplify the expression but you may not ask Mrs. Herrington, Mr. West, Mrs. Gonzalez, or Mr. Smith. You will write your final answer in scientific notation. This will be recorded as QUIZ grade and will NOT be accepted late. BE NEAT and show all your work Make sure to fill in everything. Good luck.

Explanation / Answer

Simplify 5^(6^7)/5^6 = 5^(6^7 -6)

y = 5^(6^7)/5^6

logy = log[5^(6^7)/5^6]

= 6^7log5 - log5^6

= 6^7log5 - 6log5

= log5(6^7 - 6)

= 279930log5

logy = 279930log5

y = 5^279930

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