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How do you solve 9 to the power of x equals 243?
Well, isn't that a happy little math problem we have here? To solve 9 to the power of x equals 243, we can rewrite 243 as 3 to the power of 5. Since 9 is 3 squared, we can rewrite 9 as 3 to the power of 2. Now we have 3 to the power of 2x equals 3 to the power of 5. So, setting the exponents equal to each other, we get 2x equals 5. Therefore, x equals 5 divided by 2, which simplifies to x equals 2.5. Happy solving!
What number raised to the 5th power equals 243?
The number is -3
What is the base and exponent of 243?
The base and exponent form a pair. You can chose any positive base and that will determine the exponent.243 = 49^1.5 that is base = 49, exponent = 1.5)or 243 = 10^2.5353 (approx) or 243 = 7^3.
What is the fourth root of 243?
The fourth root of a number is the number that, when multiplied by itself four times, equals the original number. In this case, the fourth root of 243 is approximately 3. The calculation is done by finding the number that, when raised to the power of 4, equals 243.
What is 3 to the power of negative 5?
Oh, what a happy little question! When we have a number raised to a negative power, we can simply move it to the denominator to make it positive. So, 3 to the power of negative 5 is 1 over 3 to the power of 5, which equals 1 over 243. Just a little math magic to brighten your day!
