plz help me solving this if is very important
Answers
your question is find the value of of x if 3²*-1÷27=729 your answer is hear hope it is helpful make me as branlist.
Answer:
The given exponential equation can be transformed as follows using the properties of exponents:
1.) 3^x = 729 (Given)
(2.) 3^x = 9³
But, 9 = 3²; therefore, substituting on the right side of equation (2.) for 9, we get:
(3.) 3^x = (3²)³
By the “Power of a Power” property of exponents, i.e., (bᵐ)ⁿ = bᵐⁿ, where b is a positive real number and m and n are any real numbers ¹, equation (3.) becomes:
(4.) 3^x = 3^6
By another property of exponents: “If b > 0, b ≠ 1, and m and n are real numbers, then bⁿ = bᵐ if and only if n = m,”² consequently, from equation (4.), we have as the value for x:
(5.) x = 6
Check:
3^x = 729
3^6 = 729
729 = 729
Therefore, x = 6 is indeed our desired value for the variable x.
¹ Jerome E. Kaufmann, “Algebra with Trigonometry for College Students," Third Edition, PWS-KENT Publishing Company, Boston, Mass., 1992, p. 468.
² Ibid....................... .. .. . .. . ... .. .. . . . . .. . . . .. .. .. . . your next question is write standard form of 123456 answer is The standard form of the number 12345 is equal to "1.2345 × ".
Answer:
3power 2x -1
x=5 then 2×5-1=9
then 3 power 9 = 19,683
19,683 ÷ 27= 729