In the expression xa = b you know a and b and want to find x.
Take logs of both sides: a*log(x) = log(b)
log(x) = log(b)/a
and so x = 10log(b)/a = a√10log(b)
If you prefer natural logarithms then x = eln(b)/a = a√eln(b)
It is: 73 = 343
If you are referring to the number 125 itself, then 125 is the base, and 1 is the exponent. This would be written as 1251. This number can also be written as 53, as 5 cubed also equals 125. In this case, 5 is the base, and 3 is the exponent. The main integer value is the base, the number to the upper right of it is the exponent. The exponent tells you how many times to multiply the base number by itself to find the answer.
When you write 53 , the whole thing is called a power. The 5 is the base, and the 3 is the exponent.
The exponent can only be found in the context of a base. But there is no base specified and so there can be no clear answer.On possible answer is that 262144 = 512^2 so, with the base 512, the exponent is 2.
to find the value of a exponential number you must multiply the base number by itself the amount of times as the exponent directs. example: if you have 5 to the 7th power, you must do 5*5*5*5*5*5*5=?
Cut the exponent in half.
The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)
An exponential expression is a problem with no answer usually used to answer a question such as, Find the Value ; 2 as a base and 5 as an exponent.; The answer would be 32 because to find the value of an exponent you multiply the number in the base by itself as many times that it says in the exponent.Ex: 2*2*2*2*2=32
You can but it has no particular significance.
Depends on the exponent and the base. 23 = 2x2x2 = 8 0.52 = 0.5 x 0.5 = 0.25 Some will have decimals, some will not.
I can think of two: - To multiply powers with the same base, add the exponents: (a^b)(a^c) = a^(b+c). - To find a power of a product, apply the exponent to each factor in the product: (ab)^c = (a^c)(b^c).
Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.