If (12)x = 1728, value of x = ?
12 power x
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if 12 to the power x = 1728, what is the value of x ?
I hope this is the question
answer:
- Use the rules of exponents and logarithms to solve the equation.
- Take the logarithm of both sides of the equation.
- The logarithm of a number raised to a power is the power times the logarithm of the number.
- Divide both sides by log(12).
- By the change-of-base formula log(b) / log(a) = logb(a).
- 12^x = 1728
- 12^x = 1728
- log (12^x) = log (1728)
- x log (12) = log (1728)
- x = log (1728) / log (12)
gives you x = 3
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