exponents

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For what value of x does 216*6 = 6^x+6^x+6^x+6^x+6^x+6^x?

Guest Jan 27, 2021

Guest · Answer 1 · 2021-01-27T03:43:51

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Note that 216 = 6³

(6³ )⁶ = 6¹⁸ = 6^x+6^x+6^x+6^x+6^x+6^x

6¹⁸= 6* 6^x = 6 ^x+1 Now equate the exponents......can you solve it now?

Guest · Answer 2 · 2021-01-27T03:39:32

Note that 216 = 6³

(6³)⁶ = 6¹⁸ = 6^x+6^x+6^x+6^x+6^x+6^x

6¹⁸ = 6^x+x+x+x+x+x= 6^6xNow equate the exponents......can you solve it now?