Notice that 243 is 3 to the 5th power.
So your equation says:
3x = 35
I'd say that 'x' is probably 5.
9x = 243 ln(9x) = ln(243) xln(9) = ln(243) x = ln(243)/ln(9) x = 2.5 NB this works with log10 too. NBB if you don't have a calculator, this kinda question will only have easy values of x like integer values or 0.5, so its always worth chucking numbers in.
The number is -3
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.
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.
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!
To find what power of 3 equals 243, you can express 243 as a power of 3. Since (3^5 = 243), it follows that 3 to the power of 5 equals 243. Therefore, the answer is (3^5 = 243).
9x = 243 ln(9x) = ln(243) xln(9) = ln(243) x = ln(243)/ln(9) x = 2.5 NB this works with log10 too. NBB if you don't have a calculator, this kinda question will only have easy values of x like integer values or 0.5, so its always worth chucking numbers in.
3
Actually, (3) raised to the (5)th power equals (243) because (3^5) is calculated as (3 \times 3 \times 3 \times 3 \times 3), which equals (243). To break it down, (3^2 = 9), (3^3 = 27), (3^4 = 81), and finally (3^5 = 243). Thus, (3^5 = 243) is correct.
The number is -3
b = -3
To find the number that raised to the power of 5 equals 243, we can express this mathematically as ( x^5 = 243 ). Taking the fifth root of both sides, we find that ( x = 243^{1/5} ). Since ( 243 = 3^5 ), we conclude that ( x = 3 ). Therefore, the number is 3.
The letter a is a variable. "To the fifth" means to the fifth power, or a*a*a*a*a. If a equals 3, "a to the fifth" equals 243.
The expression 3x3x3x3x3 represents 3 raised to the power of 5, which is written as ( 3^5 ). Calculating that gives ( 3^5 = 243 ). Therefore, 3x3x3x3x3 equals 243.
It is: 243 to the power of 1/5 = 3 because 3*3*3*3*3 = 243
243
One third of 3 to the sixth power can be calculated by first finding 3 to the sixth power, which is 3^6 = 729. Then, divide 729 by 3 to find one third of it. Therefore, one third of 3 to the sixth power is 729 divided by 3, which equals 243.