Question

by using logarithmic formula, find a+b if2powera-2powerb​

Answer 1

Answer:

2 power 11 - 2 power 5=2048-32= 2016

a=11

b= 5

a+b= 16

Step-by-step explanation:

hope it's helpful

Answer 2

Answer:

$❀✿THA᭄NKS★$

Key Points

The logarithm of a product is the sum of the logarithms of the factors.

The product rule does not apply when the base of the two logarithms are different.

Key Terms

exponent: The power to which a number, symbol, or expression is to be raised. For example, the 3 in x3x3.

Logarithms

The logarithm of a number is the exponent by which another fixed value, the base, has to be raised to produce that number. For example, the logarithm of 10001000 in base 1010 is 33, because 103=1000.103=1000.

More generally, if x=byx=by, then yy is the logarithm base bb of xx, written: y=logb(x)y=logb⁡(x), so log10(1000)=3log10⁡(1000)=3.

It is useful to think of logarithms as inverses of exponentials. So, for example:

logb(bz)=zlogb⁡(bz)=z

And:

blogb(z)=zblogb⁡(z)=z

Product Rule for Logarithms

Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. Logarithms were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily by using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition, because of the fact that the logarithm of a product is the sum of the logarithms of the factors:

logb(xy)=logb(x)+logb(y)logb(xy)=logb(x)+logb(y)

We can see that this rule is true by writing the logarithms in terms of exponentials.

Let logb(x)=vlogb⁡(x)=v and logb(y)=