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You can define any base you like and calculate an appropriate exponent or, you can pick an exponent and calculate the base.
So you can have
base 25, with exponent 2
or base 5 and exonent 4
or base e (the base for natural logarithms) and exponent 6.437752 (to 6 dp)
or base 10 and exponent 2.795880 (to 6 dp)
or base 2 and exponent 9.287712
etc
or base 8.54988 (to 3 dp) and exponent 3
or base 3.623898 (to 3 dp) and exponent 5
etc
There is no need for the base to be an integer or even rational. Probably the most important bases in advanced mathematics is e, which is a transcendental number. Similarly, there is no need for the exponent to be an integer.
What else can I help you with?
What is the exponent and base for 262144?
The two are related. The answer could be base 2, exponent 18 or base 8, exponent 6 or base 10, exponent 5.4185 or base 262144, exponent 1 or base 68,719,476,736 and exponent 0.5
What is the base and exponent of 121?
The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)
Identify the base and exponent 7 base to the 3 power?
The base is 7 and the exponent is 3.
What are the Exponent rules?
base
In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?
"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.
How do you write 625 using an exponent and a base?
54
How do you write the number 625 using an exponent and base 5?
5^4
How do you write 625 as an exponent with a base of 5?
5^4
What is the value of the expression log5 625?
The expression ( \log_5 625 ) represents the exponent to which the base 5 must be raised to obtain 625. Since ( 625 = 5^4 ), it follows that ( \log_5 625 = 4 ). Thus, the value of the expression is 4.
I am learing Algebra I and its says that the standard form of the base 5 and the exponent 4 is 625 is that true?
yes. 5 x 5 x 5 x 5 = 625
What is the exponent and base for 262144?
The two are related. The answer could be base 2, exponent 18 or base 8, exponent 6 or base 10, exponent 5.4185 or base 262144, exponent 1 or base 68,719,476,736 and exponent 0.5
What is the base of an exponent?
The base of an exponent is the main number. For example in 56 the number 5 is the base and 6 is the exponent.
What has a base and a exponent?
10x 10 is Base & x is exponent
Which number is the exponent and which is the base?
If you have ab then a is the base and b the exponent
What is the base and exponent of 4²?
4 is the base, 2 is the exponent.
What is the base and exponent of 121?
The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)
How do you find the base and exponent of a number?
in a problem like n4=625 you need to do a mult-step equations In the example, 4log n = log 625 log n = (log 625)/4 n = 10^[(log 625)/4] = 5 Although this particular answer is obvious, you could also solve n5=625, or any other power of n, which isn't, using this method. hope that it is helpful to you!
